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Circumscribed Figures

Source:

March 9, 2006
ratiogeometry

Problem Statement

Circle I is circumscribed about a given square and circle II is inscribed in the given square. If rr is the ratio of the area of circle II to that of circle IIII, then rr equals: (A) 2(B) 2(C) 3(D) 22(E) 23\text{(A)} \ \sqrt 2 \qquad \text{(B)} \ 2 \qquad \text{(C)} \ \sqrt 3 \qquad \text{(D)} \ 2\sqrt 2 \qquad \text{(E)} \ 2\sqrt 3
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