# Arc Length of a Circle

## arc Length of a Circle

A sector is a fraction of the area of a circle.

### arc Length of a formula

\( l = \theta \; r \;\; \) (when \(\; \theta \;\) is in radians)

\( l = \theta \; \frac { \pi } { 180 } r \;\; \) (when \(\; \theta \;\) is in degrees)

Where:

\(l\) = length

\(\pi\) = Pi

\(r\) = radius

\(\theta\) = angle