Find the area of the shaded sector of the circle

Given:

Given that the radius of the circle is 16 ft.

We need to determine the area of the shaded sector of the circle.

Angle of the shaded region:

The angle of the shaded region is given by

Thus, the angle of the shaded region of the circle is 270°

Area of the shaded sector of the circle:

The area of the shaded sector of the circle can be determined using the formula,

Substituting r = 16 and , we have;

Thus, the area of the shaded sector of the circle is 602.88 square feet.

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