Two circles with radius 2R and \(\sqrt{2R}\) intersect

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Two circles with radius 2R and \(\sqrt{2R}\) intersect each other at points A and B. The centers of both the circles are on the same side of AB. O is the center of the bigger circle and ∠AOB is 60°. Find the area of the common region between two circles.

[MBA XAT 2018]

A see image

B see image

C see image

D see image

E None of the above