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2023 AMC 10B Question 3

AMC10 · 2023 AMC 10B

Question 3

A $3$-$4$-$5$ right triangle is inscribed in circle $A,$ and a $5$-$12$-$13$ right triangle is inscribed in circle $B.$ What is the ratio of the area of circle $A$ to the area of circle $B?$
  1. $\dfrac{9}{25}$
  2. $\dfrac{1}{9}$
  3. $\dfrac{1}{5}$
  4. $\dfrac{25}{169}$
  5. $\dfrac{4}{25}$