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ABCD is a square of side a cm. AB, BC, CD and AD all are the chords of circles with equal radii each. If the chords subtends an angle of 120 at their respective centres, find the total area of the given figure, where arcs are part of the circles

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$[a^{2} + 4 (\frac{{πa}^{2}}{9} - \frac{a^{2}}{3 \sqrt{2}})]$

$[a^{2} + 4 (\frac{{πa}^{2}}{9} - \frac{a^{2}}{4 \sqrt{3}})]$

$[9 a^{2} - 4 π + 3 \sqrt{3} a^{2}]$

None of these

answer is B.

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