What is the degree measure of − 16𝜋/6 radians? (Show work.)

Question

Draw a mini unit circle showing the location of this angle.

Answer 1

First off every time we go 2pi radians we have gone around the circle and are back where we started. So lets subtract 2 pi radians ( 12pi/6) and we are left with (-4/6)pi radians or (-2/3)pi radians To convert this to angle measure multiply by 180/pi which gives us -120 degrees