Skip to content
Calculator Tools
Coordinate Geometry Calculators

Distance Between Two Points Calculator

Find the distance between two points (x₁, y₁) and (x₂, y₂) with the distance formula, step by step, in 2D or 3D.

Enter values

Results update as you type.

Result

Distance

5

Δx
3
Δy
4
d² (squared distance)
25
Step-by-stepShow
  1. Δx = 5 − 2 = 3
  2. Δy = 7 − 3 = 4
  3. d = √(3² + 4²) = √25 = 5

About the Distance Between Two Points Calculator

The distance formula comes straight from the Pythagorean theorem: the horizontal and vertical gaps between two points are the legs of a right triangle, and the distance is its hypotenuse. Add a z-coordinate for 3D space.

Also known as: distance formula calculator, coordinate distance calculator, distance between coordinates, 2 point distance calculator, distance between points, distance formula.

How to use this calculator

  1. Enter x₁, y₁, x₂, y₂ and the other fields.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Open “Step-by-step” to see how the answer was worked out.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

d = √((x₂ − x₁)² + (y₂ − y₁)²)
(x₁, y₁)
= first point
(x₂, y₂)
= second point
d
= straight-line distance

Worked example

Using the values pre-filled in the calculator above:

  • x₁ = 2
  • y₁ = 3
  • x₂ = 5
  • y₂ = 7
  • z₁ (optional, 3D) = 0
  • z₂ (optional, 3D) = 0

the calculator returns:

  • Distance: 5
  • Δx: 3
  • Δy: 4
  • d² (squared distance): 25

Working

  1. Δx = 5 − 2 = 3
  2. Δy = 7 − 3 = 4
  3. d = √(3² + 4²) = √25 = 5

Frequently asked questions

What is the distance formula?

d = √((x₂ − x₁)² + (y₂ − y₁)²). For (2, 3) and (5, 7): √(3² + 4²) = √25 = 5.

Does the order of the points matter?

No. Squaring removes the sign, so the distance from A to B equals the distance from B to A.

How do I find distance in 3D?

Add the z-difference: d = √(Δx² + Δy² + Δz²). Enter z₁ and z₂ in the optional fields.