Distance Formula Calculator
Distance and midpoint between two coordinates.
Enter your values
ⓘ Live results
Results
- Distance
- 10
- Midpoint
- (4, 6)
- Δx, Δy, Δz
- 6, 8, 0
- Distance squared
- 100
Working
- 1d = √(6² + 8²) = 10
Quick answer
The distance between two points is √((x₂−x₁)² + (y₂−y₁)²), a direct application of Pythagoras.
d = √((x₂−x₁)² + (y₂−y₁)² + (z₂−z₁)²)
How to use the Distance Formula Calculator
- 1Enter the first point's coordinates.
- 2Enter the second point.
- 3Leave z at 0 for 2D problems.
Worked example
Using the values the calculator loads with:
Inputs
- x₁1
- y₁2
- z₁0
- x₂7
- y₂10
- z₂0
Results
- Distance10
- Midpoint(4, 6)
- Δx, Δy, Δz6, 8, 0
- Distance squared100
- d = √(6² + 8²) = 10
Frequently asked questions
Is this the same as Pythagoras?
Yes. The distance formula is the Pythagorean theorem applied to the horizontal and vertical differences.
Does it work in 3D?
Yes — just add the z term under the square root, which this calculator does automatically.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.