(Angle swept by the minute hand of a clock)
a. (a) In 18 minutes, through how many degrees does the minute hand of a clock rotate?
b. (b) Express the angle obtained in part (a) in radians, leaving the answer in terms of π.
c. (c) If the minute hand were to continue moving for a total time of 2 h 45 min, calculate the total angular displacement in radians. Also express the result as the number of complete revolutions made by the hand.