Formula library

Circumference of a Circle

Circumference of a Circle
\[C = 2\pi r\]

Variables

Ccircumference (m)
rradius (m)

Description

What is this formula?

This formula calculates the circumference of a circle from its radius. The circumference is the total distance around the circle.


When to use it

Use this formula when the radius of a circle is known and the perimeter or boundary length needs to be determined.


Example

If the radius of a circle is 5 m:


C = 2π(5) = 31.416 m


Applications

- Geometry and mathematics

- Engineering design

- Construction and architecture

- Mechanical components

- Circular motion calculations

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