A certain dodgeball court is a circle with a square perfectly inscribed inside it. The square represents the playing fiel, while the rest of the circle represents four rest areas for players. If the square has an area of 16, what is the area of the four rest areas combined?
$$\left(A\right)\ \ 4\pi\ -16$$
$$\left(B\right)\ \ 8\pi$$
$$\left(C\right)\ \ 8\pi-4\sqrt{2}$$
$$\left(D\right)\ \ 8\pi-16$$
$$\left(E\right)\ 16\pi-4\sqrt{2}$$
The OA is D.
Please, can any expert assist me with this PS question? I don't have it clear and I appreciate if any explain it for me. Thanks.
$$\left(A\right)\ \ 4\pi\ -16$$
$$\left(B\right)\ \ 8\pi$$
$$\left(C\right)\ \ 8\pi-4\sqrt{2}$$
$$\left(D\right)\ \ 8\pi-16$$
$$\left(E\right)\ 16\pi-4\sqrt{2}$$
The OA is D.
Please, can any expert assist me with this PS question? I don't have it clear and I appreciate if any explain it for me. Thanks.
