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
[tex]\theta=360-90=270[/tex]
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,
[tex]A=(\frac{\theta}{360}) \pi r^2[/tex]
Substituting r = 16 and [tex]\theta=270[/tex], we have;
[tex]A=(\frac{270}{360})(3.14)(16)^2[/tex]
[tex]A=(\frac{270}{360})(3.14)(256)[/tex]
[tex]A=602.88 \ ft^2[/tex]
Thus, the area of the shaded sector of the circle is 602.88 square feet.
