Distance Between Two Points (3D)

About this calculator

This calculator extends the Euclidean distance formula to three dimensions: d = √((x2−x1)² + (y2−y1)² + (z2−z1)²), the natural generalization of the 2D Pythagorean formula obtained by applying it twice — once in a horizontal plane, then again with the vertical (z) difference.

3D modelers and game developers use it constantly for collision detection and camera-distance checks, engineers use it to compute clearances between components in CAD assemblies, and astronomers use the same formula (with much larger coordinates) to find the straight-line distance between stars given their positions in 3D space.