A cars windshield rear wiper rotates 150 degree The total le

A car\'s windshield rear wiper rotates 150 degree. The total length of the wiper mechanism is 21\" and the rubber wiper blade is 16\" long. Calculate the area covered by the wiper.

Solution

length of wiper = radius of circle = 16 inch

Sector cut out by wiper = 150 deg 21 min = 150.35 deg

Areacovered by wiper = pi* r^2( 150.35/360) = pi*16^2(150.35/360)

= 335.84 sq inch