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2002 AMC 10A Question 7

AMC10 · 2002 AMC 10A

Question 7

If an arc of $45^\circ$ on circle $A$ has the same length as an arc of $30^\circ$ on circle $B,$ then the ratio of the area of circle $A$ to the area of circle $B$ is
  1. $\dfrac{4}{9}$
  2. $\dfrac{2}{3}$
  3. $\dfrac{5}{6}$
  4. $\dfrac{3}{2}$
  5. $\dfrac{9}{4}$