Distance Calculator

Enter the coordinates of two points. Choose 3D to add a z coordinate.

Distance between two points

Distance5
Midpoint
(2.5, 4)
Horizontal and vertical change
Δx = 3, Δy = 4

Working

  1. d = √((x₂ − x₁)² + (y₂ − y₁)²) = √(9 + 16) = 5

Formulas

2D: d = √((x₂ − x₁)² + (y₂ − y₁)²)

3D: d = √((x₂ − x₁)² + (y₂ − y₁)² + (z₂ − z₁)²)

midpoint = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)

Worked example

From (1, 2) to (4, 6)

  1. Δx = 3, Δy = 4
  2. d = √(9 + 16) = 5
  3. Midpoint: (2.5, 4)

The points are 5 units apart.

It is Pythagoras

The horizontal and vertical gaps form the legs of a right triangle, and the distance is its hypotenuse. This gives straight-line distance on a flat grid; for places on Earth over long distances, the curvature matters and a great-circle formula is needed.