# How do you find the radian measure of the central angle of a circle of radius 8 feet that intercepts an arc of length 14 feet?

Feb 2, 2018

$\frac{7}{4}$

#### Explanation:

$\theta = \frac{s}{r}$
where $\theta$ is the angle in radians, $s$ is the intercepted arc, and $r$ is the radius of the circle.
For this problem, $\theta = \frac{14}{8} = \frac{7}{4}$