Question

Convert angle in radian to degree-

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

Short answer

The required value is,

$\frac{5\mathrm{\pi }}{6}=150°$

Step-by-step solution

Step 1. Given information

To convert $\frac{5\mathrm{\pi }}{6}$radian to degree.

Step 2. Calculation

Converting from radian to degree,

$$\begin{gathered} \frac{5\mathrm{\pi }}{6}radian=\frac{5\mathrm{\pi }}{6}.1radian \\ =\frac{5\mathrm{\pi }}{6}.\frac{180}{\mathrm{\pi }}degrees \\ =\frac{900}{6}degrees \\ =150° \end{gathered}$$