Mathematics: Find the area of the shaded sector of the circle

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Find the area of the shaded sector of the circle

kactus

25.01.2022

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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