Distance Between Two Points Calculator

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.

Distance Between Two Points formula

(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