Distance Between Two Points Calculator

Work out distance between two points instantly with clear inputs, formula shown and shareable results.

About Distance Between Two Points Calculator

The distance formula is Pythagoras applied to the horizontal and vertical separations: d = √((x₂ − x₁)² + (y₂ − y₁)²).

Formulas

Distance formula

d = √((x₂ − x₁)² + (y₂ − y₁)²)

Midpoint

M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Worked example

With the default values below, Distance Between Two Points Calculator returns Distance of 10.00000000. Change any input above and every figure here is recalculated in your browser.

Inputs used

x₁: 1
y₁: 2
x₂: 7
y₂: 10

Results

Distance: 10.00000000
Change in x: 6.000000
Change in y: 8.000000
Midpoint: (4, 6)

Step by step

1Values used
2Distance formula
3Midpoint
4Distance= 10.00000000
5Change in x= 6.000000
6Change in y= 8.000000
7Midpoint= (4, 6)

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 8 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

Distance from (1, 2) to (7, 10)?

√(36 + 64) = 10, and the midpoint is (4, 6).

Does the order of the points matter?

No. The differences are squared, so swapping the points leaves the distance unchanged.