Math

Midpoint Calculator

Find the midpoint between two points on a coordinate plane.

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Midpoint Calculator

Enable JavaScript to use the interactive calculator; the example and formula are described below.

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How to use this midpoint calculator

Enter the values requested above and select Calculate. Change any input to compare another scenario. The calculation runs locally in your browser and does not require an account.

Formula and method

Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2).

Example

The midpoint between (2, 4) and (8, 10) is (5, 7).

What this calculator is useful for

Find the midpoint between two points on a coordinate plane. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.

Midpoint Calculator: a practical example

For points (2,4) and (8,10), the midpoint is (5,7) by averaging the x and y coordinates separately.

What the result means

The midpoint lies halfway along the straight segment connecting two points.

Limits to consider

Coordinates must use the same planar system; longitude/latitude midpoint calculations on Earth need geographic treatment.

Related tools: Mean, Median and Mode Calculator · Normal Distribution Calculator

Frequently asked questions

What does the Midpoint Calculator calculate?

Find the midpoint between two points on a coordinate plane.

How does the Midpoint Calculator work?

Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2).

Is the Midpoint Calculator free to use?

Yes. ERICH Calculators is free to use and does not require an account.

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Method, assumptions & corrections

See how formulas, sources and limitations are handled across ERICH Calculators.