# Arc Length of a Circle

Written by Jerry Ratzlaff on . Posted in Plane Geometry

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

## arc Length of a Circle  formulas

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

### Where:

$$\large{ l }$$ = length

$$\large{ \pi }$$ = Pi

$$\large{ r }$$ = radius

$$\large{ \theta }$$ = angle

Tags: Equations for Length