{"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$\\text{(A)}\\ \\dfrac49 \\qquad \\text{(B)}\\ \\dfrac23 \\qquad \\text{(C)}\\ \\dfrac56 \\qquad \\text{(D)}\\ \\dfrac32 \\qquad \\text{(E)}\\ \\dfrac94$", "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>&#10;<p><span class=\"katex--inline\">\\text{(A)}\\ \\dfrac49 \\qquad \\text{(B)}\\ \\dfrac23 \\qquad \\text{(C)}\\ \\dfrac56 \\qquad \\text{(D)}\\ \\dfrac32 \\qquad \\text{(E)}\\ \\dfrac94</span></p>&#10;", "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"}}