Distance Between Two Points (3D)

Enter the coordinates of two points in space — the calculator will compute the distance between them using the Pythagorean theorem in 3D.

See also: Distance Between Two Points (2D), GPS Distance Calculator.

Calculator

decimal places

The distance between two points A(x1, y1, z1) and B(x2, y2, z2) in three-dimensional space is calculated using the generalised Pythagorean theorem.

Distance formula (3D):

d= (x2−x1)2 + (y2−y1)2 + (z2−z1)2

If z1 = z2 = 0, the formula reduces to the 2D case. Coordinates may be any real numbers. Used in 3D graphics, physics, robotics, and GIS to calculate the straight-line distance between objects in space.