Two concentric circles have their centers at point \(O\) such that a line segment \(AB\) having its endpoints on the out

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Two concentric circles have their centers at point \(O\) such that a line segment \(AB\) having its endpoints on the outer circle touches the inner circle at point \(C.\) The length of the line segment \(AB\) is \(2\sqrt2\) times the radius of the inner circle. If an equilateral triangle is drawn such that the area of the triangle is equal to the ratio of the radii of the outer circle and the inner circle respectively, what is the length of the side of the triangle?

A) \(\sqrt2\)
B) \(\sqrt3\)
C) \(2\)
D) \(3\)
E) \(2\sqrt3\)

Answer: C

Source: e-GMAT
Source: — Problem Solving |