CALCULATOR
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; 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. Derivation: Axial half-section is a right triangle.
Accepted inputs: Radius: 0.001 to 1,000 m; Perpendicular height: 0.001 to 1,000 m.
How the calculation works
ℓ = √(r²+h²)
Worked example
With radius 2 m, perpendicular height 2 m, sloped side length of right cone is 2.828427125 m.
Assumptions and limits
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. Derivation: Axial half-section is a right triangle.