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Math

Circle Calculator

Instant circle properties from radius, diameter, circumference, or area

Enter Any One Value

Type into any field — the other three are calculated instantly. All values share the same unit (e.g. cm, m, in).

All Circle Properties

r=5d=10
Radius (r)(r)
5
Diameter (d)(2 × r)
10
Circumference (C)(2 × π × r)
31.415927
Area (A)(π × r²)
78.539816
π

= 3.14159265358979

Formula Reference

Diameterd = 2r
CircumferenceC = 2πr = πd
AreaA = πr²
Radius from Cr = C / (2π)
Radius from Ar = √(A / π)
Radius from dr = d / 2
About

The Circle Calculator lets you solve any circle property in one step. Enter a radius, diameter, circumference, or area and the tool instantly derives the remaining three using the exact formulas C = 2πr and A = πr². Whether you are a student checking homework, an engineer sizing a pipe, or a designer scaling a logo, this free tool gives precise results with no rounding surprises.

FAQ
How do I calculate the circumference of a circle from its radius?+

Use the formula C = 2 × π × r. For example, a circle with radius 5 has a circumference of 2 × π × 5 ≈ 31.4159 units. Just type the radius into this calculator and the circumference is shown instantly.

How do I find the radius from the area?+

Rearrange the area formula A = πr² to get r = √(A / π). Enter the area in the Area field and the calculator solves for radius, diameter, and circumference automatically.

What is the difference between radius and diameter?+

The radius (r) is the distance from the center of a circle to its edge. The diameter (d) is the straight-line distance across the circle through its center, so d = 2r. They are directly proportional: doubling the radius doubles the diameter.

Does this calculator work in any unit?+

Yes. The formulas are unit-agnostic. Enter values in centimeters, meters, inches, or any consistent unit and the results use the same unit (area results are in that unit squared). Just be consistent — don't mix cm for one field and inches for another.

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