{"status": "success", "data": {"description_md": "A square and an equilateral triangle have the same perimeter. Let $A$ be the area of the circle circumscribed about the square and $B$ the area of the circle circumscribed around the triangle. Find $A/B$.\n\n$\\mathrm{(A) \\ } \\frac{9}{16}\\qquad \\mathrm{(B) \\ } \\frac{3}{4}\\qquad \\mathrm{(C) \\ } \\frac{27}{32}\\qquad \\mathrm{(D) \\ } \\frac{3\\sqrt{6}}{8}\\qquad \\mathrm{(E) \\ } 1$\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>A square and an equilateral triangle have the same perimeter. Let  <span class=\"katex--inline\">A</span>  be the area of the circle circumscribed about the square and  <span class=\"katex--inline\">B</span>  the area of the circle circumscribed around the triangle. Find  <span class=\"katex--inline\">A/B</span> .</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac{9}{16}\\qquad \\mathrm{(B) \\ } \\frac{3}{4}\\qquad \\mathrm{(C) \\ } \\frac{27}{32}\\qquad \\mathrm{(D) \\ } \\frac{3\\sqrt{6}}{8}\\qquad \\mathrm{(E) \\ } 1</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": "2003 AMC 12A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc12A_p12", "prev": "/problem/03_amc12A_p10"}}