ConvertThemAll

Circle calculator

Know one measurement of a circle, get the other three.

Formula Geometry

Area

Rounded for display

Area: ≈ 78.5398

Radius
5
Diameter
10
Circumference
≈ 31.4159

How it works

Everything about a circle follows from its radius r. The diameter is twice the radius, the circumference is 2πr and the area is πr².

From the circumference, r = C ÷ 2π; from the area, r = √(A ÷ π). Results are in the same unit as your input, squared for the area.

Formula

d = 2r
C = 2πr = πd
A = πr²
r = √(A ÷ π)

Worked example

A circle with radius 5 has diameter 10, circumference 2π × 5 ≈ 31.41592654 and area π × 5² ≈ 78.53981634.

Questions people ask

What is π?

π is the ratio of any circle’s circumference to its diameter, about 3.14159265. It is irrational, so its decimals never end.

How do I find the radius from the area?

Divide the area by π and take the square root: an area of 50 gives r = √(50 ÷ π) ≈ 3.989.

What units are the answers in?

The same unit you used: centimetres in give centimetres for lengths and square centimetres for the area.