{"status": "success", "data": {"description_md": "Points $A(6,13)$ and $B(12,11)$ lie on circle $\\omega$ in the plane. Suppose that the tangent lines to $\\omega$ at $A$ and $B$ intersect at a point on the $x$-axis. What is the area of $\\omega$?\n\n$\\textbf{(A) }\\frac{83\\pi}{8}\\qquad\\textbf{(B) }\\frac{21\\pi}{2}\\qquad\\textbf{(C) }<br>\\frac{85\\pi}{8}\\qquad\\textbf{(D) }\\frac{43\\pi}{4}\\qquad\\textbf{(E) }\\frac{87\\pi}{8}$\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>Points  <span class=\"katex--inline\">A(6,13)</span>  and  <span class=\"katex--inline\">B(12,11)</span>  lie on circle  <span class=\"katex--inline\">\\omega</span>  in the plane. Suppose that the tangent lines to  <span class=\"katex--inline\">\\omega</span>  at  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">B</span>  intersect at a point on the  <span class=\"katex--inline\">x</span> -axis. What is the area of  <span class=\"katex--inline\">\\omega</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }\\frac{83\\pi}{8}\\qquad\\textbf{(B) }\\frac{21\\pi}{2}\\qquad\\textbf{(C) }\\frac{85\\pi}{8}\\qquad\\textbf{(D) }\\frac{43\\pi}{4}\\qquad\\textbf{(E) }\\frac{87\\pi}{8}</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": "2019 AMC 12B Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc12B_p21", "prev": "/problem/19_amc12B_p19"}}