Finding the area of the shaded region of a circle

Posted By Admin @ September 03, 2022

Question:

Find the area of the shaded sector of the circle

Answer:

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

\theta=360-90=270

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,

A=(\frac{\theta}{360}) \pi r^2

Substituting r = 16 and \theta=270, we have;

A=(\frac{270}{360})(3.14)(16)^2

A=(\frac{270}{360})(3.14)(256)

A=602.88 \ ft^2

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

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