Circle Calculator

Area, circumference, radius and diameter. Enter the values you know and the rest are worked out, with the steps shown.

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About the circle calculator

Every circle is determined by one number. The radius r is the distance from the center to the edge, the diameter is twice the radius, the circumference is the distance around (2πr) and the area is πr².

Results are also shown as exact multiples of π where possible, a circle of radius 5 has area exactly 25π.

Formulas

AreaA = πr²
CircumferenceC = 2πr = πd
Diameterd = 2r
Radius from arear = √(A/π)

Frequently asked questions

How do I find the radius from the circumference?

Divide by 2π: r = C/(2π). A circumference of 31.4159 gives r ≈ 5.

How do I find the area from the diameter?

A = π(d/2)² = πd²/4. A 10 cm diameter gives 25π ≈ 78.54 cm².

What is π?

π ≈ 3.14159265 is the ratio of any circle’s circumference to its diameter. The calculator uses full double-precision π.