What angle in radians corresponds to 075 rotations around th

What angle (in radians) corresponds to 0.75 rotations around the unit circle? _________ radians (Give an exact answer as a fraction, not a decimal approximation.) help (angles)

Solution

1 rotation of circle=2pi radians

Therefore .75 rotation= .75*2pi radians= 1.5pi radians

and 1 radian=180 pi degree

therefore 1.5 pi radian= 1.5pi *180/pi=270 degree