{"status": "success", "data": {"description_md": "Two circles intersect at points $A$ and $B$.  The minor arcs $AB$ measure $30^\\circ$ on one circle and $60^\\circ$ on the other circle.  What is the ratio of the area of the larger circle to the area of the smaller circle?\n\n$\\textbf{(A) }2\\qquad<br>\\textbf{(B) }1+\\sqrt3\\qquad<br>\\textbf{(C) }3\\qquad<br>\\textbf{(D) }2+\\sqrt3\\qquad<br>\\textbf{(E) }4\\qquad$\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>Two circles intersect at points  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">B</span> .  The minor arcs  <span class=\"katex--inline\">AB</span>  measure  <span class=\"katex--inline\">30^\\circ</span>  on one circle and  <span class=\"katex--inline\">60^\\circ</span>  on the other circle.  What is the ratio of the area of the larger circle to the area of the smaller circle?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }2\\qquad\\textbf{(B) }1+\\sqrt3\\qquad\\textbf{(C) }3\\qquad\\textbf{(D) }2+\\sqrt3\\qquad\\textbf{(E) }4\\qquad</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": "2014 AMC 12A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12A_p13", "prev": "/problem/14_amc12A_p11"}}