Question

From radians to degree

Find the degree measure of the angle$\frac{5\pi }{3}$ radians.

Short answer

Angle in degrees is${300}^{\circ }$

Step-by-step solution

Step 1. Given information.

An angle of$\frac{5\pi }{3}$ and we have to convert it in degrees

Step 2. Concept used.

To translate a radian into degrees, multiply the given angle by $\frac{180}{\pi }$.

The answer will be in degrees.

Step 3. Calculation.

Here is the calculation-

$$\begin{gathered} 1=\frac{{180}^{\circ }}{\pi } \\ \frac{5\pi }{3}=\frac{180}{\pi }\times \frac{5\pi }{3}\Rightarrow {300}^{\circ } \end{gathered}$$