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Question

Quantitative Ability and Data Interpretation Question on Geometry

Two circles with radius 2R and √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.

A

(3π1)R2(√3 – π – 1)R^2

B

(3π)R2(√3 – π)R^2

C

)(13π/6+13)R2) (13π/6 + 1 - √3)R^2

D

(13π/6+3)R2(13π/6 + √3)R^2

E

None of the above

Answer

)(13π/6+13)R2) (13π/6 + 1 - √3)R^2

Explanation

Solution

The correct option is (C) : )(13π/6+13)R2) (13π/6 + 1 - √3)R^2