{"status": "success", "data": {"description_md": "A $45^\\circ$ arc of circle A is equal in length to a $30^\\circ$ arc of circle B. What is the ratio of circle A's area and circle B's area?\n\n$\\text{(A)}\\ 4/9 \\qquad \\text{(B)}\\ 2/3 \\qquad \\text{(C)}\\ 5/6 \\qquad \\text{(D)}\\ 3/2 \\qquad \\text{(E)}\\ 9/4$\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  <span class=\"katex--inline\">45^\\circ</span>  arc of circle A is equal in length to a  <span class=\"katex--inline\">30^\\circ</span>  arc of circle B. What is the ratio of circle A&#8217;s area and circle B&#8217;s area?</p>&#10;<p> <span class=\"katex--inline\">\\text{(A)}\\ 4/9 \\qquad \\text{(B)}\\ 2/3 \\qquad \\text{(C)}\\ 5/6 \\qquad \\text{(D)}\\ 3/2 \\qquad \\text{(E)}\\ 9/4</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": 2, "problem_name": "2002 AMC 12A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12A_p08", "prev": "/problem/02_amc12A_p06"}}