Respuesta :
The area of the shaded portion is (16π - 32) in².
What is the area of the circle?
The radius of a circle is the distance from the center of a circle to any point on the circle. If you place two radii end-to-end in a circle, you would have the same length as one diameter.
In the picture attached, the circle is shown.
The area of one-quarter of the circle is given by;
[tex]\rm = \dfrac{1}{4}\times Area\ of \ a \ circle \\\\= \dfrac{1}{4}\times \pi \times radius^2\\\\ = \dfrac{1}{4}\times \pi \times 8^2\\\\= 16\pi \ in^2[/tex]
The area of the triangle is given by;
[tex]\rm = \dfrac{1}{2} \times base\times height \\\\= \dfrac{1}{2} \times 8\times 8 = 32 \ in^2[/tex]
The area of the shaded portion is;
Shaded area = Area of one-quarter of the circle - Area of the triangle = (16π - 32) in²
Hence, the area of the shaded portion is (16π - 32) in².
To know more about the area of the circle click the link given below.
https://brainly.com/question/6667078
