A 40-inch pendulum swings through an angle of 18°. Find
a) The length of the arc in inches through which the tip of the pendulum swings.
b) The area of the region in which the pendulum moves
a) arc length = 2pi (40) ( 18/360) = 4pi inches ≈ 12.56 in
b) area = pi (40)^2 ( 18/360) = 80pi in^2 ≈ 251.3 in^2
