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Distance Formula Calculator

Find the distance between (x₁,y₁) and (x₂,y₂) with Δx, Δy, and the formula shown.

Clear formulas
Educational steps
Detail breakdown

Coordinate distance via the Pythagorean theorem on horizontal and vertical legs.

Limitation: Educational analytic geometry.

Jump to calculator · Sources & review

How to Use the Distance Formula Calculator

Coordinate distance via the Pythagorean theorem on horizontal and vertical legs.

1

Open the Distance calculator and read field labels.

Match the mode

Educational analytic geometry.

What It Calculates

Coordinate distance via the Pythagorean theorem on horizontal and vertical legs.

Worked Examples

(1,2) to (4,6)

Inputs

x1:1
y1:2
x2:4
y2:6

Result

5

3-4-5 triangle; d = 5.

Horizontal segment

Inputs

x1:0
y1:3
x2:7
y2:3

Result

7

Δy = 0; d = 7.

Same point

Inputs

x1:2
y1:2
x2:2
y2:2

Result

0

Zero displacement.

Check your mode

Educational analytic geometry.

Frequently Asked Questions

Yes. Results keep the precision shown on the page unless the engine requires integers.

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Formulas

Standard definitions with assumptions noted below.

Formula

d ​=​ √​(​​(​x₂−x₁​)​² ​+​ ​(​y₂−y₁​)​²​)​

Scientific Background

Standard coordinate definitions with assumptions stated on-page. Educational only—not professional certification.

Sources & review

Distance Formula Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.

Last reviewed

July 22, 2026

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