Question

A rectangular window measures 54 inches by 24 inches. There is an a = 14-inch wiper blade attached by a b = 4-inch arm at the center of the base of the window, as shown in the figure below. If the arm rotates 120°, approximate the percentage of the window's area that is wiped by the blade.

Answer 1

"as shown in figure below"
ehm... where is it now?

Answer 2

Area of window=54*24=1296sq in.
Area wiped by blade= \[\frac{ 120 }{ 360}\pi(18^{2}-4^{2})=\frac{ 308 }{ 3}\pi\]
taking pi=3.14
Area wiped approx =322.37 sq in
So,
% of total area of window wiped=
\[\frac{ 322.27 }{ 1296}\times100=24.87\]
approx 25%

Answer 3

sorry took .27 instead of .37..:P
doesn't matter..approx 25%
Do tell me if it's incorrect