2025 AMC 12B Problem 25

Three concentric circles have radii 1, 2, 3. An equilateral triangle with side length s has one vertex on each circle. What is s^2?

\textbf{(A)} 6 \qquad \textbf{(B)} \dfrac{25}{4} \qquad \textbf{(C)} \dfrac{13}{2} \qquad \textbf{(D)} \dfrac{27}{4} \qquad \textbf{(E)} 7

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