# What is (-7pi)/6  radians in degrees?

Dec 6, 2015

$x = {155}^{\circ}$

#### Explanation:

Since a whole ${360}^{\circ}$ angle in degrees measures $2 \setminus \pi$ radians, the proportion is

$x : 360 = \frac{\frac{- 7 \setminus \pi}{6}}{2 \setminus \pi}$

From which we have

$x = \frac{- 7 \setminus \pi}{6} \cdot \frac{1}{2 \setminus \pi} \cdot 360 = - 210$

And $- {210}^{\circ}$ is the same angle as ${155}^{\circ}$