Two identical circles intersect such that their centers and the points at which they intersect form a square of side 2 cm. What is the area of the region where the two circles intersect?	Select:  A) pi^2 - 2  B) 2pi - 4  C) 4 - pi  D) 4 - pi/2  E) 2 - pi/4
Drawing a diagram, we see that the radius of the circle equals the side of the square.   The area of intersection is: pi*r^2/4 - (r^2-pi*r^2/4) = pi*r^2/2 - r^2 = 2pi - 4   The answer is 2pi - 4.
<result>B</result>
Two identical circles intersect such that their centers and the points at which they intersect form a square of side 2 cm. What is the area of the region where the two circles intersect?