Question

Find the area of the shaded sector of the circle

Answer 1

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=((\theta)/(360)) \pi r^2`

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

`A=((270)/(360))(3.14)(16)^2`

`A=((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.