MATH

Geometry calculators

Find areas, perimeters and volumes from the dimensions of ideal shapes. Select a tool that matches both the shape and the quantity you need.

• 2D Cartesian Point Distance Calculator

  Find straight-line Euclidean distance between two planar points. Example: X coordinate of point 1: 0 coordinate units, Y coordinate of point 1: 0 coordinate units, X coordinate of point 2: 3 coordinate units, Y coordinate of point 2: 4 coordinate units gives 5 coordinate units. Two-dimensional Cartesian coordinates in a common coordinate unit; not geographic, geodesic or road distance. Two planar

• 2D Rotation about Origin Component Calculator

  2D Rotation about Origin Component. Coordinate: 0=x, 1=y: x coordinate, y coordinate only. Example: X: 3 m, Y: 4 m, Angle: 90 degrees, Coordinate: 0=x, 1=y: 0 number gives -4 m. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity.

• 30 60 90 Triangle Long Leg from Short Leg Calculator

  30 60 90 Triangle Long Leg from Short Leg. Example: Short leg: 2 m gives 3.46410161514 m. Exactly30/60/90degree triangle; input opposite30degrees, result opposite60degrees. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• 3D Cartesian Point Distance Calculator

  Find straight-line distance between two Cartesian 3D points. Example: X coordinate of point 1: 0 coordinate units, Y coordinate of point 1: 0 coordinate units, Z coordinate of point 1: 0 coordinate units, X coordinate of point 2: 2 coordinate units, Y coordinate of point 2: 3 coordinate units, Z coordinate of point 2: 6 coordinate units gives 7 coordinate units. Three-dimensional Cartesian coordin

• 45 45 90 Triangle Hypotenuse from Equal Leg Calculator

  45 45 90 Triangle Hypotenuse from Equal Leg. Example: Equal leg: 2 m gives 2.82842712475 m. Exactly isosceles right triangle; input one equal perpendicular leg. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Arc Length Calculator

  arc length. Example: Radius: 2 m, Angle in degrees: 60 degrees gives 2.09439510239 m. Circular arc only, excluding straight chord and sector radii. Angle is 0.001..179.999 degrees. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Area of a Circle Calculator

  Area of a Circle. Example: Radius: 2 gives 12.5663706144 m². A flat circle: enter radius in meters, not diameter, from 0.001 to 1,000,000 m. Area is in square meters. Curved surfaces and material waste are excluded.

• Area of a Right Triangle Calculator

  Find right-triangle area from perpendicular legs. Example: Leg a: 2 m, Leg b: 2 m gives 2 m². Legs meet at 90 degrees; neither is hypotenuse. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Base of a Triangle Calculator

  Find triangle base from area and perpendicular height. Example: Area: 12 m², Height: 2 m gives 12 m. Height is perpendicular to desired base. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Chord Length Calculator

  chord length. Example: Radius: 2 m, Angle in degrees: 60 degrees gives 2 m. Minor central angle in degrees strictly between 0 and 180. Radius supplied, not diameter. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Circle Area Calculator

  Change the example inputs to calculate your own result.

• Circle Circumference Calculator

  Find the distance around a circle from its radius.

• Circle Equation Residual at a Point Calculator

  Circle Equation Residual at a Point. Example: Center x: 0 m, Center y: 0 m, Radius: 5 m, Point x: 3 m, Point y: 4 m gives 0 m². Numerical evaluation of supplied circle equation; no symbolic parser or equation generation. Original useful product scope; historical catalog title does not grant missing modes or source parity.

• Circle Radius from Diameter Endpoints Calculator

  Circle Radius from Diameter Endpoints. Example: X1: 0 m, Y1: 0 m, X2: 6 m, Y2: 8 m gives 5 m. Radius output with center/equation displayed as supporting original context; point-circle limit explicitly allowed. Original useful product scope; historical catalog title does not grant missing modes or source parity. Version2 precision contract: Equal endpoints yield0. Nonzero near-zero differences ret

• Circle Tangent Length from Radius and External Clearance Calculator

  Circle Tangent Length from Radius and External Clearance. Example: Radius: 3 m, Clearance: 2 m gives 4 m. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity.

• Circumference of a Cylinder Calculator

  Find distance around one circular end. Example: Radius: 2 m gives 12.5663706144 m. Single base circumference, not cylinder surface area. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Circumference to Diameter Calculator

  Find diameter from measured circumference. Example: Circumference: 2 m gives 0.636619772368 m. A complete circle boundary. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Closed Hemisphere Total Surface Area Calculator

  Find hemisphere curved surface plus flat base. Example: Radius: 2 m gives 37.6991118431 m². Total surface area including the flat circular base. Includes flat circular base; curved area alone is 2πr². Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Closed Right Circular Cylinder Surface Area Calculator

  Find curved surface and both end faces. Example: Radius: 2 m, Perpendicular height: 2 m gives 50.2654824574 m². Right circular cylinder; height is perpendicular to its circular bases. Closed circular cylinder with two end faces. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calcula

• Closed Right Circular Frustum Total Area Calculator

  area of a frustum of a cone. Example: Radius a: 2 m, Radius b: 2 m, Height: 2 m gives 50.2654824574 m². Right circular closed frustum; perpendicular height and coaxial parallel bases. Both end disks included. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the c

• Closed Right Triangular Prism Total Area from Perpendicular Triangle Legs Calculator

  Closed Right Triangular Prism Total Area from Perpendicular Triangle Legs. Example: Leg a: 3 m, Leg b: 4 m, Length: 5 m gives 72 m². Closed right prism with right triangle cross section; length perpendicular to both triangular end faces. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Complementary Angles Calculator

  complementary angles. Example: Known angle: 30 degrees gives 60 degrees. Known angle 0..90 degrees; endpoints include a zero angle. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Continuous 12-Hour Clock Minor Hand Angle Calculator

  Continuous 12-Hour Clock Minor Hand Angle. Example: Time on 12-hour dial, decimal hours: 3.5 h gives 75 degrees. Decimal hours on a 12-hour dial (3.5 means03:30), not HH.MM notation; continuous hands, 12 maps0. Original useful product scope; historical catalog title does not grant missing modes or source parity.

• Cube Space Diagonal from Side Calculator

  Cube Space Diagonal from Side. Example: Side: 2 m gives 3.46410161514 m. Space diagonal between opposite cube vertices; distinct from square face diagonal. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Cube Volume Calculator

  Find the volume of a cube from one edge length.

• Cylinder Volume Calculator

  Find the full volume of a right circular cylinder from its radius and height in meters.

• Diagonal of a Square Calculator

  Find square diagonal from side. Example: Side: 2 m gives 2.82842712475 m. All sides equal with right angles. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Diameter of a Circle Calculator

  Find circle diameter from radius. Example: Radius: 2 m gives 4 m. Radius is half the distance across the center. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Diameter to Radius Calculator

  Find circle radius from diameter. Example: Diameter: 2 m gives 1 m. Input is full diameter. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Ellipse Area Calculator

  Find ellipse area from two semi-axis lengths. Example: Semi-axis a: 2 m, Semi-axis b: 2 m gives 12.5663706144 m². a and b are semi-axes, not full widths; any positive order works. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Ellipse Center to Focus Distance from Minor Semiaxis and Axis Gap Calculator

  Ellipse Center to Focus Distance from Minor Semiaxis and Axis Gap. Example: Minor semiaxis: 2 m, Axis gap: 1 m gives 2.2360679775 m. Axis-aligned ellipse; positive minor semiaxis, nonnegative axis gap; circle boundary gap0 returns focus distance0. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Ellipse Full Latus Rectum from Minor Semiaxis and Axis Gap Calculator

  Ellipse Full Latus Rectum from Minor Semiaxis and Axis Gap. Example: Minor semiaxis: 2 m, Axis gap: 1 m gives 2.66666666667 m. Ellipse only, full chord through focus perpendicular to major axis; circle boundary returns diameter2b. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Ellipsoid Volume Calculator

  Find ellipsoid volume from three semi-axes. Example: Semi-axis a: 2 m, Semi-axis b: 2 m, Semi-axis c: 2 m gives 33.5103216383 m³. a,b,c are perpendicular semi-axis lengths, not full diameters. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Equilateral Triangle Area Calculator

  Find area of an equilateral triangle. Example: Side: 2 m gives 1.73205080757 m². All three sides equal. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Exterior Angles of a Triangle Calculator

  exterior angles of a triangle. Example: Angle in degrees: 60 degrees gives 120 degrees. Find one adjacent exterior angle from its corresponding interior angle, not arbitrary reflex angles. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• General Circle Constant from Center and Radius Calculator

  General Circle Constant from Center and Radius. Example: Center x: 3 m, Center y: 4 m, Radius: 5 m gives 0 m². F output of normalized circle polynomial; D/E supporting values, no arbitrary conic transform. Original useful product scope; historical catalog title does not grant missing modes or source parity.

• General Circle Radius with Negative Constant Calculator

  General Circle Radius with Negative Constant. Example: Linear x: 6 m, Linear y: 8 m, Constant magnitude: 75 m² gives 10 m. Constant F=-q<0 explicitly parameterized; general positive-F existence checks deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity.

• Golden Ratio Longer Segment Calculator

  golden ratio. Example: Whole: 2 m gives 1.2360679775 m. Divide a positive total length into golden-ratio parts; outputs longer segment only. No aesthetic, construction or optimal-layout recommendation. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculat

• Golden Rectangle Long Side from Short Side Calculator

  Golden Rectangle Long Side from Short Side. Example: Short side: 2 m gives 3.2360679775 m. Positive short side, long side returned in meters; no aesthetic scoring claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Height of a Square Pyramid Calculator

  Find perpendicular square-pyramid height from volume and base side. Example: Volume: 12 m³, Side: 2 m gives 9 m. Square base; vertical height from volume, not slant height. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Heron Triangle Area from Three Positive Semiperimeter Gaps Calculator

  Heron Triangle Area from Three Positive Semiperimeter Gaps. Example: Semiperimeter minus side a: 1 m, Semiperimeter minus side b: 2 m, Semiperimeter minus side c: 3 m gives 6 m². Inputs are positive semiperimeter gaps, not side lengths; display reconstructed three sides and this required framing. Only this original stated job is proposed, not full historical source coverage. Input domains and out

• Hollow Cylinder Material Volume from Inner Radius and Wall Calculator

  Hollow Cylinder Material Volume from Inner Radius and Wall. Example: Inner radius: 2 m, Wall: 1 m, Height: 3 m gives 47.1238898038 m³. Right circular hollow cylinder; wall positive, outer radius=inner+wall. Material shell only, no end caps or engineering strength claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Hypotenuse Calculator

  Find the longest side of a right triangle from its two perpendicular legs.

• Ideal Catenary Height Above Lowest Point Calculator

  Ideal Catenary Height Above Lowest Point. Example: Scale: 2 m, Horizontal offset: 3 m gives 2.70481923049 m. Supplied mathematical scale a, ideal catenary centered at lowest point; height above that point only. No load, tension, material or structural safety model. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Inscribed Angle Calculator

  inscribed angle. Example: Angle in degrees: 60 degrees gives 30 degrees. Inscribed angle subtends same minor arc as supplied central angle. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Inscribed Square Area from Circle Radius Calculator

  Inscribed Square Area from Circle Radius. Example: Radius: 2 m gives 8 m². Square vertices on circle, radius meters; no arbitrary rectangle claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Isosceles Trapezoid Area from Short Base, Base Gap and Leg Clearance Calculator

  Isosceles Trapezoid Area from Short Base, Base Gap and Leg Clearance. Example: Short base: 4 m, Half base gap: 1 m, Leg clearance: 2 m gives 14.1421356237 m². Convex isosceles trapezoid with parallel bases; clearance positive ensures real height. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Isosceles Triangle Area from Half Base and Leg Clearance Calculator

  Isosceles Triangle Area from Half Base and Leg Clearance. Example: Half base: 2 m, Leg clearance: 1 m gives 4.472135955 m². Equal leg=half base+positive clearance; positive nondegenerate isosceles triangle. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Isosceles Triangle Base Angle from Apex Angle Calculator

  Isosceles Triangle Base Angle from Apex Angle. Example: Angle in degrees: 40 degrees gives 70 degrees. Supplied angle is the apex between equal legs; returns either equal base angle. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Isosceles Triangle Height from Half Base and Leg Clearance Calculator

  Isosceles Triangle Height from Half Base and Leg Clearance. Example: Half base: 2 m, Leg clearance: 1 m gives 2.2360679775 m. Positive leg clearance ensures a real nondegenerate isosceles triangle; base=2half-base, equal legs=half-base+clearance. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Kite Area Calculator

  Find kite area from perpendicular diagonals. Example: Diagonal 1: 2 m, Diagonal 2: 2 m gives 2 m². Full lengths of two perpendicular diagonals in a simple convex shape. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Linear Feet to Square Feet Calculator

  Find rectangular strip area from length and width in feet. Example: Length: 2 ft, Width: 2 ft gives 4 ft². A width is required; length alone does not determine area. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Midsegment of a Trapezoid Calculator

  Find segment joining the midpoints of nonparallel sides. Example: Parallel base a: 2 m, Parallel base b: 2 m gives 2 m. a,b are lengths of parallel bases. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Midsegment of a Triangle Calculator

  Find triangle midpoint segment from parallel side. Example: Parallel side: 2 m gives 1 m. Segment joins two side midpoints and is parallel to third side. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Minor Central Angle from Arc and Radius Calculator

  central angle. Example: Minor arc length: 0.5 m, Radius: 2 m gives 14.3239448783 degrees. Minor arc; bounded arc≤1 m and radius≥1 m keep angle at most one radian. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Minor Circular Segment Area from Radius and Central Angle Calculator

  Minor Circular Segment Area from Radius and Central Angle. Example: Radius: 2 m, Central angle: 90 degrees gives 1.14159265359 m². Minor segment angle greater than0 and at most180degrees; binary64 cancellation accuracy limited for extremely small angles, excluded below.01degree. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be v

• Parallelepiped Volume from Base Edges, Included Angle and Perpendicular Height Calculator

  Parallelepiped Volume from Base Edges, Included Angle and Perpendicular Height. Example: Base a: 3 m, Base b: 4 m, Included angle: 60 degrees, Perpendicular height: 5 m gives 51.9615242271 m³. Height perpendicular to base, not oblique third edge length; no three-vector determinant inference. Only this original stated job is proposed, not full historical source coverage. Input domains and output u

• Parallelogram Area Calculator

  Find a parallelogram footprint from one base and its perpendicular height.

• Parallelogram Perimeter Calculator

  parallelogram perimeter. Example: A: 2 m, B: 2 m gives 8 m. Adjacent side lengths, not perpendicular altitude. Does not determine area or angles. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Perimeter of a Rectangle with Given Area Calculator

  Find rectangle perimeter from its area and one side. Example: Area: 12 m², Side: 2 m gives 16 m. One side is independently required; area alone cannot determine perimeter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Perimeter of a Right Triangle Calculator

  Find right-triangle boundary from its perpendicular legs. Example: A: 2 m, B: 2 m gives 6.82842712475 m. a,b are perpendicular legs; neither is hypotenuse. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Perimeter of a Sector Calculator

  Find sector arc plus both radii. Example: Radius: 2 m, Central angle (degrees): 90 degrees gives 7.14159265359 m. Strictly nonzero sector angle below 360 degrees; includes two straight sides. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Pyramid Volume Calculator

  Find pyramid volume from base area and vertical height. Example: Base area: 12 m², Perpendicular height: 2 m gives 8 m³. Any planar base and single apex; vertical height not slant height. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Quarter Circle Area Calculator

  Find quarter-disk area. Example: Radius: 2 m gives 3.14159265359 m². Exactly 90-degree circular sector. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Quarter Circle Perimeter Calculator

  Find curved arc plus both straight radii. Example: Radius: 2 m gives 7.14159265359 m. Includes two radii, not arc alone. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Radius of a Sphere Calculator

  Find sphere radius from complete-sphere volume. Example: Volume: 12 m³ gives 1.42024808461 m. Complete sphere volume; positive real cube root. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Rectangle Area in ft² Calculator

  Find rectangular area in ft². Example: Length: 2 ft, Width: 2 ft gives 4 ft². Rectangular footprint only; mixed-unit inputs excluded in this forward adapter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Rectangle Area in in² Calculator

  Find rectangular area in in². Example: Length: 2 in, Width: 2 in gives 4 in². Rectangular footprint only; mixed-unit inputs excluded in this forward adapter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Rectangle Area in m² Calculator

  Find rectangular area in m². Example: Length: 2 m, Width: 2 m gives 4 m². Rectangular footprint only; mixed-unit inputs excluded in this forward adapter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Rectangle Area in yd² Calculator

  Find rectangular area in yd². Example: Length: 2 yd, Width: 2 yd gives 4 yd². Rectangular footprint only; mixed-unit inputs excluded in this forward adapter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Rectangle Diagonal Angle Above Width Axis Calculator

  Rectangle Diagonal Angle Above Width Axis. Example: Width: 4 m, Height: 3 m gives 36.8698976458 degrees. Positive rectangle dimensions; angle measured from width axis0..90degrees. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Rectangle Perimeter Calculator

  Find the distance around a rectangle from its length and width.

• Rectangular Prism Surface Area Calculator

  Calculate the combined area of all six faces of a rectangular box.

• Rectangular Prism Surface Area to Volume Ratio Calculator

  Rectangular Prism Surface Area to Volume Ratio. Example: Length: 2 m, Width: 2 m, Height: 2 m gives 3 1/m. Closed rectangular prism only; all lengths in meters; no biological, thermal or safety recommendation. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Rectangular Pyramid Volume Calculator

  Find pyramid volume from rectangular base dimensions. Example: Length: 2 m, Width: 2 m, Perpendicular height: 2 m gives 2.66666666667 m³. Rectangular base and apex; height perpendicular to base. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Regular Decagon Area Calculator

  Find area of a regular 10-sided polygon. Example: Side: 2 m gives 30.7768353718 m². Regular polygon only: 10 equal sides and equal interior angles. Irregular shapes excluded. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Regular Dodecagon Area Calculator

  Find area of a regular 12-sided polygon. Example: Side: 2 m gives 44.7846096908 m². Regular polygon only: 12 equal sides and equal interior angles. Irregular shapes excluded. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Regular Heptagon Area Calculator

  Find area of a regular 7-sided polygon. Example: Side: 2 m gives 14.535649776 m². Regular polygon only: 7 equal sides and equal interior angles. Irregular shapes excluded. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Regular Hexagon Area Calculator

  hexagon. Example: Side: 2 m gives 10.3923048454 m². Regular hexagon only: 6 equal sides and equal interior angles. Computes area, not arbitrary polygon reconstruction. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Regular Hexagonal Pyramid Volume Calculator

  volume of a hexagonal pyramid. Example: Side: 2 m, Height: 2 m gives 6.92820323028 m³. Regular hexagonal base, perpendicular height, not slant height. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Regular Octagon Area Calculator

  octagon. Example: Side: 2 m gives 19.313708499 m². Regular octagon only: 8 equal sides and equal interior angles. Computes area, not arbitrary polygon reconstruction. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Regular Pentagon Area Calculator

  pentagon. Example: Side: 2 m gives 6.88190960236 m². Regular pentagon only: 5 equal sides and equal interior angles. Computes area, not arbitrary polygon reconstruction. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Regular Polygon Area from Side and Side Count Calculator

  Regular Polygon Area from Side and Side Count. Number of sides: 3, 4, 5, 6, 7, 8, 10, 12 only. Example: Side: 2 m, Number of sides: 6 count gives 10.3923048454 m². Regular convex polygon only; side count selected from3,4,5,6,7,8,10,12 enforced by discrete choices. No irregular polygon inference. Only this original stated job is proposed, not full historical source coverage. Input domains and outpu

• Regular Right Hexagonal Pyramid Total Surface Area Calculator

  Regular Right Hexagonal Pyramid Total Surface Area. Example: Side: 2 m, Height: 3 m gives 31.1769145362 m². Regular hexagon base, apex directly above center, perpendicular height; includes base. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Regular Tetrahedron Volume Calculator

  Find regular tetrahedron volume from its equal edge length. Example: Equal edge length (all six edges): 2 m gives 0.942809041582 m³. Regular tetrahedron only: all six edges equal. Irregular tetrahedra require additional measurements and are outside this tool. Regular tetrahedron only: all six edges equal. Irregular tetrahedra deferred explicitly. Flat Euclidean geometry; enter stated meter measure

• Rhombus Area Calculator

  Find rhombus area from perpendicular diagonals. Example: Diagonal 1: 2 m, Diagonal 2: 2 m gives 2 m². Full lengths of two perpendicular diagonals in a simple convex shape. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Right Circular Cone Lateral Area Calculator

  Find curved surface excluding base. Example: Radius: 2 m, Perpendicular height: 2 m gives 17.7715317526 m². Right circular cone; height is perpendicular to its circular base. Right circular cone; circular base excluded. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Right Circular Cone Slant Height Calculator

  Find sloped side length of right cone. Example: Radius: 2 m, Perpendicular height: 2 m gives 2.82842712475 m. Right circular cone; height is perpendicular to its circular base. Right cone only; height perpendicular to base. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Right Circular Cone Total Surface Area Calculator

  Find curved surface plus circular base. Example: Radius: 2 m, Perpendicular height: 2 m gives 30.337902367 m². Right circular cone; height is perpendicular to its circular base. Closed right circular cone; includes base. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Right Circular Cone Volume Calculator

  Find volume of a right circular cone. Example: Radius: 2 m, Perpendicular height: 2 m gives 8.37758040957 m³. Right circular cone; height is perpendicular to its circular base. Height is perpendicular; use inner dimensions for capacity. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change

• Right Circular Cylinder Lateral Area Calculator

  Find curved cylinder surface without ends. Example: Radius: 2 m, Perpendicular height: 2 m gives 25.1327412287 m². Right circular cylinder; height is perpendicular to its circular bases. Both circular end faces excluded. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Right Circular Diameter of a Cone Calculator

  Find diameter from volume and perpendicular height. Example: Volume: 12 m³, Perpendicular height: 2 m gives 4.78730736482 m. Right circular shape only; output explicitly diameter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Right Circular Diameter of a Cylinder Calculator

  Find diameter from volume and perpendicular height. Example: Volume: 12 m³, Perpendicular height: 2 m gives 2.76395319577 m. Right circular shape only; output explicitly diameter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Right Circular Height of a Cone Calculator

  Find right-cone perpendicular height from volume and radius. Example: Volume: 12 m³, Radius: 2 m gives 2.86478897565 m. Right circular cone; radius, not diameter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Right Circular Height of a Cylinder Calculator

  Find cylinder perpendicular height from volume and radius. Example: Volume: 12 m³, Radius: 2 m gives 0.954929658551 m. Right circular cylinder; inner dimensions for capacity. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Right Circular Radius of a Cone Calculator

  Find radius from volume and perpendicular height. Example: Volume: 12 m³, Perpendicular height: 2 m gives 2.39365368241 m. Right circular shape only; output explicitly radius. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Right Circular Radius of a Cylinder Calculator

  Find radius from volume and perpendicular height. Example: Volume: 12 m³, Perpendicular height: 2 m gives 1.38197659789 m. Right circular shape only; output explicitly radius. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Right Isosceles Trapezoidal Prism Lateral Area Calculator

  Right Isosceles Trapezoidal Prism Lateral Area. Example: Short base: 4 m, Half base gap: 1 m, Leg clearance: 2 m, Length: 5 m gives 80 m². Right prism, isosceles trapezoid ends; positive clearance assures nondegenerate section; excludes both end faces. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Right Total Surface Area of a Rectangular Pyramid Calculator

  Find rectangular base and all four side-face areas. Example: Length: 2 m, Width: 2 m, Perpendicular height: 2 m gives 12.94427191 m². Right rectangular pyramid: apex over base center. Closed total area includes base; vertical height supplied. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is d

• Right Total Surface Area of a Square Pyramid Calculator

  Find square base and all four triangular side-face areas. Example: Side: 2 m, Perpendicular height: 2 m gives 12.94427191 m². Right square pyramid: apex directly above base center; closed surface includes base. Height vertical, not slant height. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding i

• Ring Torus Surface Area Calculator

  torus surface area. Example: Tube radius: 2 m, Clearance: 2 m gives 315.827340835 m². Ring torus only. Tube radius r; clearance is R−r, the distance from axis to inner tube edge, so R=r+clearance>r. Excludes horn/spindle/self-intersecting tori. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; di

• Ring Torus Volume Calculator

  torus volume. Example: Tube radius: 2 m, Clearance: 2 m gives 315.827340835 m³. Ring torus only. Tube radius r; clearance is R−r, the distance from axis to inner tube edge, so R=r+clearance>r. Excludes horn/spindle/self-intersecting tori. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display

• Sector Area Calculator

  Find sector area from radius and central angle. Example: Radius: 2 m, Central angle (degrees): 90 degrees gives 3.14159265359 m². θ in degrees strictly between 0 and 360; full disk is a separate circle tool. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Semicircle Area Calculator

  Find half-disk area. Example: Radius: 2 m gives 6.28318530718 m². Exactly 180-degree sector. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Simple Polygon Interior Angle Sum Calculator

  Simple Polygon Interior Angle Sum Calculator — change the supplied values to calculate simple polygon interior angle sum.

• Sphere Equation Residual at a Point Calculator

  Sphere Equation Residual at a Point. Example: Cx: 0 m, Cy: 0 m, Cz: 0 m, Px: 1 m, Py: 2 m, Pz: 2 m, Radius: 3 m gives 0 m². Scalar residual with projected schematic, numerical sphere equation only. Original useful product scope; historical catalog title does not grant missing modes or source parity.

• Sphere Surface Area Calculator

  Calculate the outer surface area of a complete sphere from its radius.

• Sphere Volume Calculator

  Find the volume of a complete sphere from its radius in meters.

• Spherical Polar Angle from Positive-z Cartesian Point Calculator

  Spherical Polar Angle from Positive-z Cartesian Point. Example: X: 3 m, Y: 4 m, Z: 5 m gives 45 degrees. Positive z, polar angle only; whole-sphere coordinates deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity. Version2 precision contract: Positive z. Small-angle approximation has relative analytic error≤t²/3≤3.34e-17 for t=ρ/z≤1e-8, b

• Square Area Calculator

  Calculate the area inside a square from the length of one side.

• Square Feet of a Triangle Calculator

  Find triangle area from foot measurements. Example: Base: 2 ft, Perpendicular height: 2 ft gives 2 ft². Perpendicular height, not sloped side. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Square Feet to Cubic Feet Calculator

  Find volume from area in square feet and depth in feet. Example: Area: 100 ft², Depth: 2 ft gives 200 ft³. Depth in feet, not inches; use internal measurements for capacity. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Square Feet to Cubic Yards Calculator

  Find volume in cubic yards from square feet and depth in feet. Example: Area: 100 ft², Depth: 2 ft gives 7.40740740741 yd³. Depth in feet; 27 cubic feet per cubic yard. Waste and packing excluded. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Square Inches of a Circle Calculator

  Find disk area from radius in inches. Example: Radius: 2 in gives 12.5663706144 in². Radius, not diameter, in inches. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.

• Square Inches of a Circle Calculator

  Calculate a circle’s area in square inches from its radius in inches.

• Square Perimeter Calculator

  Find the total distance around a square from one side.

• Square Pyramid Volume Calculator

  Find pyramid volume from square base side and altitude. Example: Side: 2 m, Perpendicular height: 2 m gives 2.66666666667 m³. Square base; height perpendicular to base, not slant height. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Supplementary Angles Calculator

  supplementary angles. Example: Known angle: 60 degrees gives 120 degrees. Known angle 0..180 degrees; endpoints include a zero angle. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation.

• Surface Area of a Cube Calculator

  Surface Area of a Cube. Example: Edge length: 2 gives 24 m². A closed cube with six equal square faces: enter edge length in meters from 0.001 to 1,000,000 m. Result is total outer surface area, not one-face area or volume. Open-top boxes, thickness and material waste are excluded.

• Trapezoid Area Calculator

  Calculate area from the two parallel bases and the perpendicular distance between them.

• Trapezoid Height Calculator

  Find trapezoid altitude from area and parallel bases. Example: Area: 12 m², Parallel base a: 2 m, Parallel base b: 2 m gives 6 m. a,b are parallel base lengths; height perpendicular. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Trapezoid Perimeter Calculator

  trapezoid perimeter. Example: Base a: 2 m, Base b: 2 m, Leg a: 2 m, Leg b: 2 m gives 8 m. For an already measured valid trapezoid; adds sides without asserting geometric constructibility of arbitrary four numbers. No area inferred. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display roundin

• Triangle Area Calculator

  Find a triangle’s area from its base and perpendicular height in meters.

• Triangle Area from Two Sides and Included Angle Calculator

  Triangle Area from Two Sides and Included Angle. Example: Side a: 3 m, Side b: 4 m, Included angle: 90 degrees gives 6 m². Angle C is between the two supplied sides; nondegenerate ordinary Euclidean triangle. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Triangle Height Calculator

  Find triangle perpendicular height from area and base. Example: Area: 12 m², Base: 2 m gives 12 m. Height is altitude, not sloped side. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Triangle Opposite Side from Two Sides and Included Angle Calculator

  Triangle Opposite Side from Two Sides and Included Angle. Example: Side a: 3 m, Side b: 4 m, Included angle: 90 degrees gives 5 m. Included angle strictly between0 and180; return only opposite side, no ambiguous SSA solve. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Triangle Perimeter from Three Positive Side Gaps Calculator

  Triangle Perimeter from Three Positive Side Gaps. Example: Gap a: 1 m, Gap b: 2 m, Gap c: 3 m gives 12 m. Inputs are half-perimeter side gaps, not arbitrary side lengths; reconstructed sides must be displayed in explanation. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.

• Triangle Sum Theorem Calculator

  triangle sum theorem. Example: First interior angle: 50 degrees, Second interior angle: 60 degrees gives 70 degrees. Both supplied angles are acute; this bounded domain always produces a positive third angle. Does not solve sides. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding

• Triangular Pyramid Volume Calculator

  triangular pyramid volume. Example: Base: 2 m, Base altitude: 2 m, Pyramid height: 2 m gives 1.33333333333 m³. Base altitude lies within base plane and is perpendicular to chosen base edge. Pyramid height is perpendicular to base plane. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display ro

• Truncated Cone Volume Calculator

  truncated cone volume. Example: Radius a: 2 m, Radius b: 2 m, Height: 2 m gives 25.1327412287 m³. Circular frustum between parallel bases; perpendicular height; either radius order allowed, equal radii give a cylinder. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not ch

• Uniform Rope Lift Around an Ideal Circle Calculator

  Uniform Rope Lift Around an Ideal Circle. Example: Added length: 1 m gives 0.159154943092 m. Ideal concentric circles and uniform lift; no sag, elasticity, terrain, orbital or Earth-shape model. Original useful product scope; historical catalog title does not grant missing modes or source parity.

• Volume of a Hemisphere Calculator

  Find half-sphere volume. Example: Radius: 2 m gives 16.7551608191 m³. Half of a sphere cut through its center. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

• Volume of a Rectangular Prism Calculator

  Volume of a Rectangular Prism. Example: Length: 2, Width: 3, Height: 4 gives 24 m³. A rectangular prism with three perpendicular dimensions in meters, each from 0.001 to 10,000 m. Volume is in cubic meters. Use internal dimensions for container capacity. Thickness, rounded edges, packing gaps and waste are excluded.

• Volume of a Trapezoidal Prism Calculator

  Find prism volume with a trapezoid cross-section. Example: Parallel base a: 2 m, Parallel base b: 2 m, Perpendicular trapezoid height: 2 m, Length: 2 m gives 8 m³. a,b parallel trapezoid bases; both heights perpendicular to their respective faces. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does

• Volume of a Triangular Prism Calculator

  Find prism volume from triangular base and extrusion length. Example: Base: 2 m, Perpendicular triangle height: 2 m, Length: 2 m gives 4 m³. Triangle height perpendicular to its base; prism length perpendicular between congruent parallel faces. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does no

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