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

`(11\pi)/(12)`

Required:

Find the degree measure of the angle.

Step-by-step explanation:

The radian measure is

`(11\pi)/(12)`

To convert the radian measure multiply it by

`(180)/(\pi)\degree`
`\begin{gathered} (11\pi)/(12)*(180)/(\pi)=(11)/(12)*180 \\ (11\pi)/(12)*(180)/(\pi)=11*15 \\ (11\pi)/(12)*(180)/(\pi)=165\degree \end{gathered}`

Final Answer:

Option b is the correct answer.