Distance Formula
Free Distance Formula calculator with clear step-by-step results.
About Distance Formula
The Euclidean distance between two points in a plane.
Formula
Formula
d = √((x2−x1)² + (y2−y1)²)
Worked example
With the default values below, Distance Formula returns Distance of 5.000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- x1
- 0
- y1
- 0
- x2
- 3
- y2
- 4
Results
- Distance
- 5.000
- Δx
- 3.000
- Δy
- 4.000
Step by step
- 1Values used
- 2Formula
- 3Distance= 5.000
- 4Δx= 3.000
- 5Δy= 4.000
Assumptions and limits
- The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
The Euclidean distance between two points in a plane.
Why does this matter?
Works in any consistent coordinate units.