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2003 AMC 12A Question 11

AMC12 · 2003 AMC 12A

Question 11

A square and an equilateral triangle have the same perimeter. Let $A$ be the area of the circle circumscribed about the square and $B$ be the area of the circle circumscribed about the triangle. Find $\frac{A}{B}.$
  1. $\dfrac{9}{16}$
  2. $\dfrac{3}{4}$
  3. $\dfrac{27}{32}$
  4. $\dfrac{3\sqrt{6}}{8}$
  5. $1$