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Math / Circle

Circle Calculator

Derive a circle’s radius, diameter, circumference, and area from one known measurement. Select the input type so the calculator applies the correct relationship instead of treating a diameter as a radius. The circle relations are d=2r, circumference=2πr, and area=πr². If circumference or area is entered, radius is recovered before the other values are calculated.

Your inputs

Make it your own
Calculator settings

units

Your result
radius 5
Circle measurements
Circle measurements · diagram not to scaler = 5
Circle measurements · diagram not to scale
Diameter
10
Circumference
31.42
Area
78.54

Example inputs shown. Adjust them to explore.

A familiar situation

Work out a circular table’s circumference or surface area from its diameter.

How to use this calculator

  1. Enter known measurement, measurement.
  2. Select Calculate to see the answer and its breakdown.
  3. Keep a scenario, change an input and compare the results.

Use consistent units and check the assumptions below before applying the result.

How circle is calculated

The circle relations are d=2r, circumference=2πr, and area=πr². If circumference or area is entered, radius is recovered before the other values are calculated. A circle with diameter 10 cm has circumference 10π ≈ 31.416 cm and area 25π ≈ 78.540 cm².

d=2r; circumference=2πr; area=πr².
A worked example

A circle with diameter 10 cm has circumference 10π ≈ 31.416 cm and area 25π ≈ 78.540 cm².

Assumptions & useful context

The result depends on the values you enter and the method described above. Displayed numbers may be rounded; calculations use the unrounded values. Check that this model matches your situation before relying on it.

Frequently asked questions

May a circumference or area be zero?

No; a zero-size circle has no positive radius.

Why is area in squared units while circumference is in ordinary units?

Area spans two dimensions; circumference measures a length around the boundary.

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