# A circle has a radius of 3 inches, what is the length of the arc subtended by a central angle of 108 degrees?

Aug 4, 2015

$\frac{9}{5} \pi$

#### Explanation:

The length of the arc ($\Delta$ in radians) is:

$L = \Delta r$

Convert the angle to radians and use this formula to get:

$L = 2 \pi \left(\frac{108}{360}\right) r = \frac{9}{5} \pi$