2023 AMC 10B Problem 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?

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

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.