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Precalc Question -- Find Angle Measure in Radians for -0.6 Rotations

What angle measure, in radians, corresponds to −0.6 rotations around a unit circle? (Round your answer to two decimal places.)

The book gives the answer (-3.77) but not the process of how to get to the answer; it's really frustrating. 

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Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
Check Marked as Best Answer


Each rotation turns 2pi radians.

So, -0.6 rotations turn -06*2pi = -3.77 radians <==Answer

I am from AZ too.

Good luck!


Peter V. | I teach all math from HS Algebra I to Calc III, prob & statsI teach all math from HS Algebra I to Ca...

Robert is correct but just for a little more detail:

one full rotation of any circle (meaning the unit circle included) has an angle measure of 2pi radians, when they say -.6 rotations they mean .6 of a rotation in the negative angular direction, thus as Robert writes 

(-.6)(2pi)= -3.77