2023 AMC 12B Problems/Problem 3

Problem

A 3-4-5 right triangle is inscribed 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 circle $B$ ?

$\textbf{(A) }\frac{9}{25}\qquad\textbf{(B) }\frac{1}{9}\qquad\textbf{(C) }\frac{1}{5}\qquad\textbf{(D) }\frac{25}{169}\qquad\textbf{(E) }3\frac{4}{25}$

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2023 AMC 12B Problems/Problem 3

Problem