The blade of a windshield wiper sweeps out an angle of 135° in one cycle. the base of the blade is12 inches from the pivot point and the tip is 32 inches from the pivot point. what area does thewiper cover in one cycle? (round to the nearest 0.1 square inch.)

The are cover in one cycle is 1036.7 square inches.

Step-by-step explanation:

Consider the provided information.

The blade of a windshield wiper sweeps out an angle of 135° in one cycle. The base of the blade is12 inches from the pivot point and the tip is 32 inches from the pivot point.

The area of a sector is:   where θ is in radians.

First Converting 135º to radians, we get 3π/4.  

The area of the region swept out by the wiper blade = (Area cover by tip) - (area of blade).

The are cover in one cycle is 1036.7 square inches.

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