All calculators
Calculators

Calculate the circumference of a circle

Type the circle's radius into the box, and the calculator works out the circumference straight away. You can use either a comma or a full stop for decimals, like 4.5.

What is the circumference of a circle?

The circumference is the distance all the way around the circle. The radius rr is the distance from the centre of the circle out to its edge.

The formula is:

C=2⋅π⋅rC = 2 \cdot \pi \cdot r

You multiply the radius by 2 and then by π\pi. Two times the radius is the same as the diameter, the distance straight across the circle. Pi is about 3.14, and it is exactly the ratio between circumference and diameter: the circumference is a little more than three times as long as the diameter.

Example

A circle has radius r=4r = 4. The circumference is:

C=2⋅π⋅r=2⋅π⋅4=8⋅πC = 2 \cdot \pi \cdot r = 2 \cdot \pi \cdot 4 = 8 \cdot \pi

So the circumference is 8⋅π8 \cdot \pi, which is about 25.13 units.