Convert 5 pi over 6 to degree measure.

Question

Choices are ;

 

1 over 216 degrees

150°

1 over all of 216 degrees times pi

75°

 

 

 

 

Answer 1

The most common conversion factor from radians to degrees is (180/∏); then we have to multiply (5∏/6) by this factor, and we obtain 150 degrees. Second answer.

Answer 2

First we have to remember the ratio of radians/degrees is π/180^o. so,

 

(5π/6) (180/π)

 

then we simplify

 

(5/6)(180^o/1) => 5 * 30^o => 150^o