Question

A car's rear windshield wiper rotates 140°. the total length of the wiper mechanism is 25 inches and the length of the wiper blade is 11 inches. find the area wiped by the wiper blade. (round your answer to one decimal place.)

Answer 1

Here we use the formula of area of sector, which is

$Area =( \frac{ \theta}{360}) \pi r^2$

Substituting 140 for theta, 11 for radius, we will get

$Area = ( \frac{140}{360}) \pi *11^2$

$Area = 147.8 inches^2$

And that's the required area wiped by the wiper blade .