Question 921189
degrees = radians * 180 / pi


radians = degrees * pi / 180


150 radians * 180 / pi = 8594.366927 degrees.


8594.366927 degrees * pi / 180 = 150 radians.


on the unit circle, one complete revolution is equal to 360 degrees or 2pi radians.


8594.366927 / 360 = 23.87324146 = 23 complete revolutions plus .87324146 * 360 = 23 complete revolutions plus 314.366927 degrees.


150 radians / 2*pi = 23.87324146 = 23 complete revolutions plus .87324146 * 2pi = 23 complete revolutions plus 5.4867379935 radians.


5.4867379935 radians * 180 / pi = 34.366927 degrees.


the numbers are equivalent as they should be.


degrees = radians * 180 / pi


radians = degrees * pi / 180