If a square is inscribed in a circle that, in turn, is inscribed in a larger square, what is the ratio of the perimeter

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If a square is inscribed in a circle that, in turn, is inscribed in a larger square, what is the ratio of the perimeter of the larger square to that of the smaller square?

A. \(\dfrac12\)

B. \(\dfrac1{\sqrt2}\)

C. \(\sqrt2\)

D. \(2\)

E. \(3.14\)

Answer: C

Source: GMAT Club Tests