A rectangular window measures 54 inches by 24 inches There i

A rectangular window measures 54 inches by 24 inches. There is an a = 15-inch wiper blade attached by a b = 2-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. (Round your answer to one decimal place.)

Solution

area of rectangular window=54 * 24 =1296 inches²

window\'s area that is wiped by the blade = area of sector with angle 120⁰, radius 15 inch

area of sector=(/360^o)r²

area that is wiped by the blade =(120⁰/360^o)15²

area that is wiped by the blade =75

percentage of the window\'s area that is wiped by the blade=(75/1296)*100

percentage of the window\'s area that is wiped by the blade=18.2%