Question

A windshield wiper is 18 inches long and has a blade 12 inches long. If the wiper sweeps through an angle of 130 ∘, how large an area does the wiper blade clean? Round your answer to the nearest whole number.

Answer 1

The wiper blade cleans an area of approximately 11 square inches.

Step-by-step explanation:

To find the area that the wiper blade cleans, we need to calculate the length of the arc swept by the blade. The length of the arc can be found using the formula:

Length of arc = (angle in radians) x (radius)

Since the wiper sweeps through an angle of 130 degrees, we need to convert it to radians: 130 degrees = (130 * pi) / 180 radians. Now we can calculate the length of the arc: (130 * pi / 180) x 12 inches = 11.27 inches (approx).

Therefore, the wiper blade cleans an area of approximately 11 square inches.