(Angle swept by the minute hand of a clock)
(a) In 18 minutes, through how many degrees does the minute hand of a clock rotate?
(b) Express the angle obtained in part (a) in radians, leaving the answer in terms of π.
(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.