How does the Distance Calculator 2D work?

Find the horizontal difference: Δx = x₂ − x₁ Then: Find the vertical difference: Δy = y₂ − y₁ Then: Square both differences and add them Then: Take the square root: d = √(Δx² + Δy²).

Can you give an example of how to use the Distance Calculator 2D?

Example: Input (0,0) to (3,4) gives a result of 5 (√(9+16)=√25=5 — a 3-4-5 triangle).

Is the Distance Calculator 2D free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Distance Calculator 2D?

Our Distance Calculator 2D uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Mathematics

Distance Calculator 2D

2D Distance Calculator

Point 1

x₁

y₁

Point 2

x₂

y₂

The distance formula calculates the straight-line (Euclidean) distance between two points in a 2D coordinate plane. It is derived directly from the Pythagorean theorem — the distance is the hypotenuse of a right triangle formed by the horizontal and vertical differences.

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Pro Tip

Check for Pythagorean triples first. If Δx and Δy are 3 and 4, the answer is exactly 5 — no calculator needed.

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Did You Know?

GPS navigation uses a 3D version of the distance formula plus corrections for Earth's curvature to calculate positions accurate to within a few centimetres.

References

›Euclidean distance — Wikipedia
›Distance formula — Khan Academy

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Distance Calculator 2D

2D Distance Calculator

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2D Distance Calculator