GRE Question of the Day (December 3)

In the figure above, ABCD is a square with sides equal to 1, AFC is an arc of a circle centered at B, and AEC is an arc of a circle centered at D. What is the area of rhombus AECF?

A. 2 - 2√2

B. 2√2 - 1

C. 2√(2−2√)2(2−2)

D. 2√2

E. 1 + 2√