2008 Gauss 8 Problem 23

In the diagram, each circle is divided into two equal areas and O is the centre of the larger circle. The area of the larger circle is 64\pi. The total area of the shaded regions is

\textbf{(A)}\ 34\pi\quad \textbf{(B)}\ 36\pi\quad \textbf{(C)}\ 44\pi\quad \textbf{(D)}\ 40\pi\quad \textbf{(E)}\ 33\pi

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.