The minute hand of a clock is 10 cm long. Between 3:10 p.m. and 3:40 p.m. it sweeps out a sector of the dial. (Take π=3.14.)
a. Part 1: Find the angle, in degrees, through which the minute hand turns during this interval.
b. Part 2: Calculate the length of the arc traced by the tip of the minute hand.
c. Part 3: Determine the area, in cm2, of the sector swept by the minute hand.