Question

The driver-side wiper blade is 26 inches long and the passenger-side wiper blade is 16 inches long. If the surface area of the windshield is 1250 square inches and both blades rotate at an angle of 100°, what percentage of the entire windshield is cleaned by the wiper blades? Round your answer to the nearest percent and use the percent sign, like this: 42%

Answer 1

65%

Explanation:

Given in the question,

length of one wiper blade = 26 inches

length of other wiper blade = 16 inches

1 degree = 0.0174533 rad

100 degree = 1.745 rad

Surface area covered by first wiper blade

½ r² ∅

1/2 (26)²(1.745)

589.81 inches²

Surface area covered by second wiper blade

½ r² ∅

Surface area covered by first wiper blade

½ (16)²(1.745)

223.36 inches²

percentage cleaned by windshield

area covered by wipers / total windshield area

(223.36+589.81) / 1250

0.651 * 100%

65%