{"status": "success", "data": {"description_md": "A $3-4-5$ right triangle is inscribed in circle $A$, and a $5-12-13$ right triangle is inscribed in circle $B$. What is the ratio of the area of circle $A$ to the area of circle $B$?\n\n$\\textbf{(A) }\\frac{9}{25}\\qquad\\textbf{(B) }\\frac{1}{9}\\qquad\\textbf{(C) }\\frac{1 }{5}\\qquad\\textbf{(D) }\\frac{25}{169}\\qquad\\textbf{(E) }\\frac{4}{25}$", "description_html": "<p>A  <span class=\"katex--inline\">3-4-5</span>  right triangle is inscribed in circle  <span class=\"katex--inline\">A</span> , and a  <span class=\"katex--inline\">5-12-13</span>  right triangle is inscribed in circle  <span class=\"katex--inline\">B</span> . What is the ratio of the area of circle  <span class=\"katex--inline\">A</span>  to the area of circle  <span class=\"katex--inline\">B</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }\\frac{9}{25}\\qquad\\textbf{(B) }\\frac{1}{9}\\qquad\\textbf{(C) }\\frac{1 }{5}\\qquad\\textbf{(D) }\\frac{25}{169}\\qquad\\textbf{(E) }\\frac{4}{25}</span> </p>\n<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": 1, "problem_name": "2023 AMC 10B Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10B_p04", "prev": "/problem/23_amc10B_p02"}}