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Circle calculator

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The calculator needs JavaScript. The tables below give the same numbers for common cases.

How it is worked out

  1. Radius r = 5.
  2. Diameter = 2r = 10.
  3. Circumference = 2πr = 31.415927.
  4. Area = πr² = 78.539816.
Worked examples
InputsAnswer
You know the: Radius; Radius: 5; Diameter: 10; Circumference: 31.4159; Area: 78.5398A circle with radius 5 has circumference 31.415927 and area 78.539816.
You know the: Diameter; Radius: 5; Diameter: 12; Circumference: 31.4159; Area: 78.5398A circle with radius 6 has circumference 37.699112 and area 113.097336.
You know the: Area; Radius: 5; Diameter: 10; Circumference: 31.4159; Area: 100A circle with radius 5.641896 has circumference 35.449077 and area 100.

How to use it

A circle is fixed by its radius r. The diameter is 2r, the circumference is 2πr and the area is πr². If you know the diameter, the circumference or the area instead, the calculator first works back to the radius.

For a circle of radius 5: diameter 10, circumference 31.4159 and area 78.5398. π is used at full floating-point precision.

Frequently asked questions

How do I find the area of a circle from its diameter?

Halve the diameter to get the radius, then use πr².

What is the circumference formula?

C = 2πr, or πd with the diameter d.

How do I find the radius from the circumference?

r = C ÷ 2π.

Method: standard arithmetic shown step by step; no outside data is used. Checked 2026-11-12.

Written by Calculators Free Editorial Team · Data checked 2026-11-12
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General information only. Results are plain arithmetic on the numbers you enter; check anything important (money, health, school work) against your own records or the official source.