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Circle Calculator

Calculate properties from any known value.

Radius
Diameter
Circumference
Area
Value must be positive.

Radius Definition

The distance from the center to the edge.

r d C A
Radius (r)
- units
Diameter (d)
- units
Circumference (C)
- units
Area (A)
- units²

Circle Formulas

Radius & Diameter

The diameter is the longest distance across the circle passing through the center. The radius is exactly half the diameter.

d = 2r

Circumference

The circumference is the perimeter or distance around the circle. It is related to the diameter by the constant Pi (π).

C = πd   or   C = 2πr

Area

The area is the space occupied by the circle in a 2-dimensional plane.

A = πr²

Finding Radius

If you know the Area or Circumference, you can find the radius using these formulas:

r = √(A / π)
r = C / 2π