Question

A windshield wiper blade is 9 inches long. To the nearest square inch, what is the area covered by the blade as it rotates through an angle of 50 degrees

Answer 1

The area covered by the wiper blade is 35 square inches

Explanation:

Here, we want to calculate the area covered by the blade of the wiper

Mathematically, this is simply the area of the sector formed by the wiper on the screen

This can be calculated as follows;

theta/360 * pi * r^2

From the question theta = 50 degrees

r = the length of the wiper = 9 inches

So the area is;

50/360 * 22/7 * 9^2 = 35.35714285714286

This is closest to 35 square inches