High School

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

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

Answer :

Given:

An angle in radian measure is

[tex]\frac{11\pi}{12}[/tex]

Required:

Find the degree measure of the angle.

Explanation:

The radian measure is

[tex]\frac{11\pi}{12}[/tex]

To convert the radian measure multiply it by

[tex]\frac{180}{\pi}\degree[/tex][tex]\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}[/tex]

Final Answer:

Option b is the correct answer.