SOLUTION: An angle of 150 radians can be converted to an angle of ___

SOLUTION: An angle of 150 radians can be converted to an angle of ____ degrees?

Question 921189: An angle of 150 radians can be converted to an angle of ____ degrees?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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

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