{"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$\\mathrm{(A)}\\ 36+24\\sqrt{3}\\qquad\\mathrm{(B)}\\ 54+9\\pi\\qquad\\mathrm{(C)}\\ 54+18\\sqrt{3}+6\\pi\\qquad\\mathrm{(D)}\\ \\left(2\\sqrt{3}+3\\right)^2\\pi\\qquad\\mathrm{(E)}\\ 9\\left(\\sqrt{3}+1\\right)^2\\pi$", "description_html": "<p>An equilateral triangle has side length <span class=\"katex--inline\">6</span>. What is the area of the region containing all points that are outside the triangle but not more than <span class=\"katex--inline\">3</span> units from a point on the triangle?</p>&#10;<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\\qquad\\mathrm{(E)}\\ 9\\left(\\sqrt{3}+1\\right)^2\\pi</span></p>&#10;", "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"}}