# What is (5pi)/6  radians in degrees?

Jan 11, 2016

To convert from degree to radian we multiply the angle by $\frac{\pi}{180}$.

To convert from radian to degree we multiply the angle by $\frac{180}{\pi}$.

$\frac{5 \pi}{6}$

Multiply by $\frac{180}{\pi}$

$= \frac{5 \pi}{6} \cdot \frac{180}{\pi} = 5 \cdot 30 = 150$ degree.

$\implies \frac{5 \pi}{6} r a \mathrm{di} a n = 150$ degree.