AHSME 1979 Problem 8

Find the area of the smallest region bounded by the graphs of $y=|x|$ and $x^2+y^2=4$. $\textbf{(A) }\frac{\pi}{4} \textbf{(B) }\frac{3\pi}{4} \textbf{(C) }\pi \textbf{(D) }\frac{3\pi}{2} \textbf{(E) }2\pi$