{"status": "success", "data": {"description_md": "<center>\n<img class=\"problem-image\" height=\"252\" src=\"https://latex.artofproblemsolving.com/6/6/d/66db58ca0de01a6dab5b8ddb18e671f265759bfa.png\" width=\"202\"/>\n</center>\nRolly wishes to secure his dog with an 8-foot rope to a square shed that is 16 feet on each side.  His preliminary drawings are shown.\nWhich of these arrangements give the dog the greater area to roam, and by how many square feet?\n\n$\\mathrm{(A)}\\ \\text{I, by}\\ 8\\pi\\qquad\\mathrm{(B)}\\ \\text{I, by}\\ 6\\pi\\qquad\\mathrm{(C)}\\ \\text{II, by}\\ 4\\pi\\qquad\\mathrm{(D)} \\text{II, by}\\ 8\\pi\\qquad\\mathrm{(E)}\\ \\text{II, by}\\ 10\\pi$", "description_html": "<center>\n<img class=\"problem-image\" height=\"252\" src=\"https://latex.artofproblemsolving.com/6/6/d/66db58ca0de01a6dab5b8ddb18e671f265759bfa.png\" width=\"202\"/>\n</center>\nRolly wishes to secure his dog with an 8-foot rope to a square shed that is 16 feet on each side.  His preliminary drawings are shown.\nWhich of these arrangements give the dog the greater area to roam, and by how many square feet?\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\text{I, by}\\ 8\\pi\\qquad\\mathrm{(B)}\\ \\text{I, by}\\ 6\\pi\\qquad\\mathrm{(C)}\\ \\text{II, by}\\ 4\\pi\\qquad\\mathrm{(D)} \\text{II, by}\\ 8\\pi\\qquad\\mathrm{(E)}\\ \\text{II, by}\\ 10\\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": "2006 AMC 10A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p13", "prev": "/problem/06_amc10A_p11"}}