Question

11πWhat is the number of degrees in an angle whose radian measure is12a. 150c. 330b.165d. 518?

Answer 1

Given:

An angle in radian measure is

$\frac{11\pi}{12}$

Required:

Find the degree measure of the angle.

Explanation:

The radian measure is

$\frac{11\pi}{12}$

To convert the radian measure multiply it by

$\frac{180}{\pi}\degree$$\begin{gathered} \frac{11\pi}{12}\times\frac{180}{\pi}=\frac{11}{12}\times180 \\ \frac{11\pi}{12}\times\frac{180}{\pi}=11\times15 \\ \frac{11\pi}{12}\times\frac{180}{\pi}=165\degree \end{gathered}$

Final Answer:

Option b is the correct answer.