{"status": "success", "data": {"description_md": "An equilateral triangle has side length 6. What is the area of the region containing all points that are outside the triangle but not more than 3 units from a point on the triangle?\n\n$\\mathrm{(A)}\\ 36+24\\sqrt{3}\\qquad\\mathrm{(B)}\\ 54+9\\pi\\qquad\\mathrm{(C)}\\ 54+18\\sqrt{3}+6\\pi\\qquad\\mathrm{(D)}\\ \\left(2\\sqrt{3}+3\\right)^2\\pi\\\\\\mathrm{(E)}\\ 9\\left(\\sqrt{3}+1\\right)^2\\pi$", "description_html": "<p>An equilateral triangle has side length 6. What is the area of the region containing all points that are outside the triangle but not more than 3 units from a point on the triangle?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 36+24\\sqrt{3}\\qquad\\mathrm{(B)}\\ 54+9\\pi\\qquad\\mathrm{(C)}\\ 54+18\\sqrt{3}+6\\pi\\qquad\\mathrm{(D)}\\ \\left(2\\sqrt{3}+3\\right)^2\\pi\\\\\\mathrm{(E)}\\ 9\\left(\\sqrt{3}+1\\right)^2\\pi</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": 3, "problem_name": "2008 AMC 10A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10A_p18", "prev": "/problem/08_amc10A_p16"}}