# How do you convert 5pi/6 radians to degree?

Apr 18, 2016

${150}^{o}$

#### Explanation:

$1 \pi \text{ radian} = {180}^{o}$

In this case, it is obvious that

$5 \pi \text{ radians} = {180}^{o} \cdot 5 = {900}^{o}$

and, completing the question,

$\frac{5 \pi}{6} \text{ radians} = {900}^{o} / 6 = {150}^{o}$.

You can also work it out the other way round, dividing by $6$ first to give ${180}^{o} / 6 = {30}^{o}$, and then multiplying by $5$ to give ${150}^{o}$.