{"status": "success", "data": {"description_md": "If an arc of $45^\\circ$ on circle $A$ has the same length as an arc of $30^\\circ$ on circle $B$, then the ratio of the area of circle $A$ to the area of circle $B$ is\n\n$\\text{(A)}\\ 4/9 \\qquad \\text{(B)}\\ 2/3 \\qquad \\text{(C)}\\ 5/6 \\qquad \\text{(D)}\\ 3/2 \\qquad \\text{(E)}\\ 9/4$", "description_html": "<p>If an arc of  <span class=\"katex--inline\">45^\\circ</span>  on circle  <span class=\"katex--inline\">A</span>  has the same length as an arc of  <span class=\"katex--inline\">30^\\circ</span>  on circle  <span class=\"katex--inline\">B</span> , then the ratio of the area of circle  <span class=\"katex--inline\">A</span>  to the area of circle  <span class=\"katex--inline\">B</span>  is</p>\n<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>\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": "2002 AMC 10A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10A_p08", "prev": "/problem/02_amc10A_p06"}}