2025 AMC 10A Problem 10

A semicircle has diameter AB and chord CD of length 16 parallel to AB. A smaller semicircle with diameter on AB and tangent to CD is cut from the larger semicircle, as shown below.

What is the area of the resulting figure, shown shaded?

\textbf{(A)} 16\pi \qquad \textbf{(B)} 24\pi \qquad \textbf{(C)} 32\pi \qquad \textbf{(D)} 48\pi \qquad \textbf{(E)} 64\pi

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.