Question

The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in operation, the wiper sweeps through 135°. Find the area swept by the blade. (Round your answer to the nearest whole number.)

Answer 1

To find the area swept by the windshield wiper blade, subtract the area of the smaller circle from the area of the larger circle.

Step-by-step explanation:

The area swept by the windshield wiper blade can be found by subtracting the area of the smaller circle from the area of the larger circle. The formula for the area of a circle is A = πr^2, where r is the radius.

Using this formula, the area of the larger circle is A = π(24)^2 and the area of the smaller circle is A = π(14)^2.

Subtracting the smaller area from the larger area gives us the area swept by the blade.

Step 1: Calculate the area of the larger circle: A = π(24)^2

Step 2: Calculate the area of the smaller circle: A = π(14)^2

Step 3: Subtract the smaller area from the larger area to find the area swept by the blade.