The minute hand of a clock in a clock tower is 36 in. long. What is the length of the arc that the minute hand makes, as the time moves from 12:45 to 1 o'clock? Leave you answer in terms of pi.
arc = radius x angle.
36 x pi / 4 = 9pi inches
2pi (36 in) (90/360) =
2pi (36 in)(1/4) =
2pi * 9 =
18 pi inches