CALCULATOR
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
Two-dimensional Cartesian coordinates in a common coordinate unit; not geographic, geodesic or road distance. Two planar Cartesian points in one common unit. Coincident points give zero. Geographic latitude/longitude, roads and higher dimensions excluded. Derivation: Translation invariance and Pythagorean norm.
Accepted inputs: X coordinate of point 1: -1,000,000 to 1,000,000 coordinate units; Y coordinate of point 1: -1,000,000 to 1,000,000 coordinate units; X coordinate of point 2: -1,000,000 to 1,000,000 coordinate units; Y coordinate of point 2: -1,000,000 to 1,000,000 coordinate units.
straight-line Euclidean distance between two planar points
How the calculation works
d = √((x₂-x₁)²+(y₂-y₁)²)
Worked example
With x coordinate of point 1 1 coordinate units, y coordinate of point 1 2 coordinate units, x coordinate of point 2 3 coordinate units, y coordinate of point 2 4 coordinate units, straight-line euclidean distance between two planar points is 2.828427125 coordinate units.
Assumptions and limits
Two-dimensional Cartesian coordinates in a common coordinate unit; not geographic, geodesic or road distance. Two planar Cartesian points in one common unit. Coincident points give zero. Geographic latitude/longitude, roads and higher dimensions excluded. Derivation: Translation invariance and Pythagorean norm.