What is (7pi)/12 radians in degrees?

1 Answer
Mar 13, 2018

105^@

Explanation:

If one revolution is 2pi radians, and it is also 360^@, we can make a conversion factor:

(7cancel(pi))/12 cancel("rad")*(360^@)/(2cancel(pi) cancel("rad"))

This lets us cancel out the pi's and the radians, to give us just degrees. Now, we can reduce the fraction as much as possible before completing the conversion:

7/12*360^@/2 rArr 7/12*180^@

7*180^@/12 rArr 7*15^@ = 105^@