How do you convert 5pi/6 radians to degree?

1 Answer
Apr 18, 2016

#150^o#

Explanation:

#1pi " radian" = 180^o#

In this case, it is obvious that

#5pi " radians" = 180^o * 5 = 900^o#

and, completing the question,

#(5pi)/6 " radians" = 900^o/6 = 150^o#.

You can also work it out the other way round, dividing by #6# first to give #180^o/6 = 30^o#, and then multiplying by #5# to give #150^o#.