Question

From radians to degree

Find the degree measure of the angle$-\frac{5\pi }{6}$ radians.

Short answer

Angle in degrees is${\mathbf{150}}^{\mathbf{\circ }}$

Step-by-step solution

Step 1. Given information.

An angle of$\frac{5\pi }{6}$ and we have to convert it in degrees.

Step 2. Concept used.

When an angle is provided in radians, we multiply it by$\frac{180}{\pi }$ to convert it to degrees.

The answer will be in degrees.

Step 3. Calculation.

Here is the calculation-

$\begin{array}{l}1=\frac{{180}^{\circ }}{\pi }\\ \frac{5\pi }{6}=\frac{180}{\pi }\times \frac{5\pi }{6}\\ \Rightarrow {150}^{\circ }\end{array}$