In the figure shown above, PQRS is a square. The shaded portion is formed by…

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In the figure shown above, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at S and Q.

The probability that any point picked randomly within the square falls in the shaded area is ______

1. A.

   4 − $\frac{\pi}{2}$

2. B.

   $\frac{1}{2}$

3. C.

   $\frac{\pi}{2}$ − 1

4. D.

   $\frac{\pi}{4}$