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Use the below diagram to find the area of the shaded region if the radius of the circle is

132 inches and the measure of angle ABC is
3pi/5 radians.

Use the below diagram to find the area of the shaded region if the radius of the circle-example-1

1 Answer

1 vote

Answer:

5227.2π in² ≈ 16422 in²

Explanation:

You want the area of a sector that has a radius of 132 inches and a central angle of 3π/5 radians.

Area

The formula for the area of a sector is ...

A = 1/2r²θ . . . . . where r is the radius, and θ is the central angle

Application

The area of the sector with the given dimensions is ...

A = 1/2(132 in)²(3π/5) = 5227.2π in² ≈ 16422 in²

The area is 5227.2π square inches, about 16422 square inches.

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