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Problem Description Circle \(C_1\) has its center \(O\) lying on circle \(C_2\). The two circles meet at \(X\) and \(Y\). Point \(Z\) in the exterior of \(C_1\) lies on circle \(C_2\) and \(XZ=13\), \(OZ=11\), and \(YZ=7\). What is the radius of circle \(C_1\)? $$ \textbf{(A)}\ 5\qquad\textbf{(B)}\ \sqrt{26}\qquad\textbf{(C)}\ 3\sqrt{3}\qquad\textbf{(D)}\ 2\sqrt{7}\qquad\textbf{(E)}\ \sqrt{30} $$

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Solution E

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