{"status": "success", "data": {"description_md": "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 $C_1$?\n\n$\\textbf{(A)}\\ 5\\qquad\\textbf{(B)}\\ \\sqrt{26}\\qquad\\textbf{(C)}\\ 3\\sqrt{3}\\qquad\\textbf{(D)}\\ 2\\sqrt{7}\\qquad\\textbf{(E)}\\ \\sqrt{30}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Circle  <span class=\"katex--inline\">C_1</span>  has its center  <span class=\"katex--inline\">O</span>  lying on circle  <span class=\"katex--inline\">C_2</span> .  The two circles meet at  <span class=\"katex--inline\">X</span>  and  <span class=\"katex--inline\">Y</span> .  Point  <span class=\"katex--inline\">Z</span>  in the exterior of  <span class=\"katex--inline\">C_1</span>  lies on circle  <span class=\"katex--inline\">C_2</span>  and  <span class=\"katex--inline\">XZ=13</span> ,  <span class=\"katex--inline\">OZ=11</span> , and  <span class=\"katex--inline\">YZ=7</span> .  What is the radius of circle  <span class=\"katex--inline\">C_1</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\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}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2012 AMC 12A Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc12A_p17", "prev": "/problem/12_amc12A_p15"}}