PASCAL 2013 Problem 18

In the diagram, PQRS is a square with side length 2. Each of P,Q,R, and S is the center of a circle with radius 1. What is the area of the shaded region?

Centered Image

Answer Choices
A. 16-\pi^2
B. 16-4\pi
C. 4-4\pi
D. 4-4\pi^2
E. 4-\pi