# Question #c5789

Dec 18, 2016

$\frac{3 \pi}{4}$ radians

#### Explanation:

If you divide ${135}^{\circ}$ by ${360}^{\circ}$ you obtain the fraction $\frac{3}{8}$

This means that ${135}^{\circ}$ is 3 eighths of a full rotation.

A full rotation in radians is $2 \pi$

Therefore, ${135}^{\circ} = \left(\frac{3}{8}\right) \left(2 \pi\right)$

We can simplify this to $\frac{3 \pi}{4}$