Radians as multiples of pi?

4 Answers

• Don’t use your calculator. Multiply degrees by pi/180 to convert to radians, so

  80 degrees = 80pi/180 radians, now just reduce the fraction to lowest terms.

• Eww no don’t do that. Usually we don’t look at radians in decimals, but fractions.

  80 degrees = 80pi/180 = 4pi/9 Radians

• pi radians is 180 degrees.

  80 degrees is (80/180)(pi) = (4/9)(pi)

• to convert degrees to radians:

  degree amount / 180

  so

  (80 / 180) * PI = 4 PI / 9 <– in terms of PI