The four vertices of a unit square act as the centres of four quarter-circles. The arcs of these circles intersect each other within the square as depicted below. If the area of the region at the center of the square, which itself looks like a bloated square, is cordoned off by all the four arcs of circles is `pi/3 - sqrt3 + 1`, find the area of the shaded region.

Options

A. A) `4sqrt3-(2pi)/3`
B. B) `4-2sqrt3-(2pi)/3`
C. C) `4-sqrt3-pi/3`
D. D) none of these

Answer

A