Try this geometry question that tests your understanding of rectangles, circles, arcs, and standard right triangles.

An $8$ by $2\sqrt{2}$ rectangle has the same center as a circle of radius $2$. The area of the region common to both the rectangle and the circle is

- $\quad 2\pi $
- $\quad 2\pi + 2 $
- $\quad 4\pi – 4 $
- $\quad 2\pi + 4$
- $\quad 4\pi – 2 $