Try this GRE math practice question that tests your understanding of relationship between the length of an edge of a square inscribed in a circle and the radius of the circle.

**Question#67**: If a square is inscribed in a circle of radius $r$ as shown below, then the area of the shaded region is

- $\quad r^2\left(\pi \; – \, \dfrac{1}{2\pi}\right) $
- $\quad r^2\left(\pi-\dfrac{1}{2}\right) $
- $\quad \dfrac{\pi r^2}{2} $
- $\quad r^2(\pi-1) $
- $\quad r^2(\pi-2) $

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