What is #(-5pi)/12 # radians in degrees?

1 Answer
Jan 27, 2016

Convert by multiplying the expression by #180/pi#

Explanation:

#(5pi)/12 xx (180/pi)#

We can simplify the fractions before multiplying: the #pi#'s eliminate themselves and the 180 is divided by 12, which gives 15.

= 15 #xx# 5

= 75 degrees

The rule is the opposite when converting from degrees to radians: you multiply by #pi/180#.

Practice exercises:

  1. Convert to degrees. Round to 2 decimals if necessary.

a) #(5pi)/4# radians

b) #(2pi)/7# radians

  1. Convert to radians. Keep the answer in exact form.

a) 30 degrees

b) 160 degrees