2018 Pascal Problem 23

In the diagram, two larger circles with radius 1 have centres P and Q. Also, the smaller circle has diameter PQ. The region inside the two larger circles and outside the smaller circle is shaded.

The area of the shaded region is closest to

\textbf{(A)}\ 0.36\quad \textbf{(B)}\ 0.38\quad \textbf{(C)}\ 0.40\quad \textbf{(D)}\ 0.42\quad \textbf{(E)}\ 0.44

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 Pascal contests here.