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Area of a Circle Calculator

Find a circle's area from its radius, diameter or circumference.

Change the values and press Calculate to work out your own figures.

Enter any one of the radius, diameter, circumference or area.

About radius (r)From the centre to the edge.
About diameter (d)Across the centre.
About circumference (c)The distance around.
About area (a)In square units.
About unitThe unit of every measurement; the answer is then also given in other units.
Result
Area of the circle
314.1592654 in²
Exact
100π in²
Diameter
20 in
Circumference
62.83185307 in (20π)

The area of the circle is 314.1592654 in² (100π in²).

In other units
AmountUnit
0.2026829916m²
2,026.829916cm²
2.181661565ft²
314.1592654in²
0.2424068406yd²
5.008405797e-5acres
Show the working
  1. d = 2r, C = 2πr, A = πr²
  2. Area = 314.1592654 in²

How to use it

Enter any one of the radius, diameter, circumference or area.

Enter the measurements (decimals, fractions such as 3/4, or mixed numbers such as 1 1/2) and, if you like, their unit; the answer is then also given in other units. Show the working gives the formula.

Key facts

A = π r² = π d² ÷ 4 = C² ÷ 4π

Area from the diameter

A = π d² ÷ 4: a 10-inch pizza is 25π ≈ 78.54 in².

Questions

What is the area of a circle of radius 10?

100π ≈ 314.1592654.

How much bigger is a 16-inch pizza than a 12-inch one?

(16/12)² ≈ 1.78 times the area.

Formulas

A = π r² = π d² ÷ 4 = C² ÷ 4π

Sources

Limitations

  • All measurements in one calculation use the same unit; the answer is also given in other units.
  • Measurements up to 10¹⁵.

Formula version 0.1.0Reviewed