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The total arm and blade of a windshield wiper is 12 in. long and rotates back and forth through an angle of 90 degrees. The shaded region in the figure is the portion of the windshield cleaned by the 9​-in. wiper blade. What is the area of the region​ cleaned?

answer with the last three decimal places (no rounding)

Respuesta :

facundo3141592

The area of the region is: 63.585 square inches.

What is the area of the region​ cleaned?

If we have a circle of radius R, the area of said circle is:

A = pi*R^2

Particularly, if we have a section of the circle defined by an angle θ, the area of that region is:

A = (θ/2pi)*pi*R^2 = (θ/2)*R^2

In this case we have:

θ = 90° = pi/2

R = 9in

Replacing that we get:

A = (pi/4)*(9in)^2 = (3.14/4)*(9in)^2 = 63.585 in^2

If you want to learn more about circles:

https://brainly.com/question/1559324

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