ABCD is a square of side a cm. AB,BC,CD and Which of the following all are the chords of circles with equal radii each . If the chords subtends and angle of `120^(@)` at their respective centres , find the total area of the given figure , where arcs are part of the circles :

Options

A. a. `[a^(2) + 4((pia^(2))/(9)-(a^(2))/(3 sqrt(2)))]`
B. b. `[a^(2) + 4((pi a^(2))/(9) - (a^(2))/(4 sqrt(3)))]`
C. c. `[9a^(2) - 4 pi + 3sqrt(3) a^(2)]`
D. d. none of these

Answer

B