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AMC 12 2025b Problem 25

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Three concentric circles have radii 1,2,31,2,3. An equilateral triangle with side length ss has one vertex on each circle. What is s2?s^2?

(A) 6(B) 254(C) 132(D) 274(E) 7\textbf{(A) } 6 \textbf{(B) } \frac{25}{4} \textbf{(C) } \frac{13}{2} \textbf{(D) } \frac{27}{4} \textbf{(E) } 7

Dataset text AMC 12 2000 to 2025. Quoted with source.

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E

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