Convert the radian measure to exact degree measure.
A)80 °
B)502.4 °
C)160 °
D)202.5 °
E)320 °

Question

Convert the radian measure to exact degree measure. 
A)80 ° 
B)502.4 ° 
C)160 ° 
D)202.5 ° 
E)320 °

Quizplus · Accepted Answer

To convert radian measure to exact degree measure, we use the formula:
Degree measure = radian measure × (180/π)
Substituting the given radian measure, we get:
Degree measure = (7π/18) × (180/π) = 70°
Since 7π/18 is between π/4 and π/3 (both of which correspond to 45° and 60° respectively), the degree measure must be between 45° and 60°, which narrows it down to choice C (160°) as the only possible answer.

Convert the Radian Measure to Exact Degree Measure