Burns Nguyen
05/02/2024 · High School
12. Se tienen 3 circunferencias con centros en \( C_{1}, C_{2} \) y \( C_{3} \) de manera que \( \overline{C_{1} C_{2}} \perp \overline{C_{2} C_{3}} \), determina el radio de la circun- ferencia en \( C_{2} \) si el radio de la circunferencia en \( C_{1} \) y en \( C_{3} \) son; \( \frac{1}{4} r \) y \( \frac{1}{2} r \), respectivamente y \( \overline{C_{1} C_{3}}=\frac{\sqrt{61}}{4} r \).
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El radio de la circunferencia en \( C_2 \) es \( \frac{3}{4} r \).
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