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Circle Area Calculator: Area From the Radius

Find the area of a circle from its radius using A = πr². Enter the radius in any unit and the area comes back in the matching square unit: a radius in centimetres gives square centimetres.

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Your inputs

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Your result

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Enter your values and run the tool. Your result will appear here.

How to use the Circle Area Calculator

Enter the radius. If you measured the diameter, halve it first.

The circle area formula

Area equals pi times the radius squared: A = πr², with π ≈ 3.14159. For a radius of 5 the area is 3.14159 × 25 ≈ 78.54. Doubling the radius makes the area four times larger, because the radius is squared.

If you know the diameter or circumference

The radius is half the diameter, so a 10-inch pizza has a 5-inch radius. From the circumference C, the radius is C ÷ (2π). Work out the radius first, then enter it above.

The formula

A = πr²

Examples

  • Radius 5
    Area: 78.53981634
  • Radius 12.5
    Area: 490.87385212
  • Radius 0.75
    Area: 1.76714587

Circle area by radius

RadiusArea
13.1416
212.5664
328.2743
450.2655
578.5398
6113.0973
7153.938
8201.0619
9254.469
10314.1593
12452.3893
15706.8583
201,256.6371
251,963.4954
507,853.9816
10031,415.9265

Limitations and assumptions

The area comes back in the square of the unit you entered.

Frequently asked questions

What is the area of a circle with radius 10?

About 314.16 square units, because π × 10² = 100π.

How do I find the area from the diameter?

Halve the diameter to get the radius, then use A = πr². Or use A = πd² ÷ 4 directly.

Which unit is the answer in?

The square of the unit you entered. A radius in metres gives square metres; a radius in inches gives square inches.