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1966 AMC 12 Question 4

AMC12 · 1966 AMC 12

Question 4

Circle $\mathrm{I}$ is circumscribed about a given square and circle $\mathrm{II}$ is inscribed in the given square. If $r$ is the ratio of the area of circle $\mathrm{I}$ to that of circle $\mathrm{II},$ then $r$ equals:
  1. $\sqrt2$
  2. $2$
  3. $\sqrt3$
  4. $2\sqrt2$
  5. $2\sqrt3$