2017 Gauss 8 Problem 24

In the diagram, ABC is a quarter of a circle with radius 8. A semi-circle with diameter AB is drawn, as shown. A second semi-circle with diameter BC is also drawn. The area of the shaded region is closest to

\textbf{(A)}\ 22.3\quad \textbf{(B)}\ 33.5\quad \textbf{(C)}\ 25.1\quad \textbf{(D)}\ 18.3\quad \textbf{(E)}\ 20.3

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.