{"status": "success", "data": {"description_md": "Three circles with radius 2 are mutually tangent. What is the total area of the circles and the region bounded by them, as shown in the figure?\n\n<center>\n<img class=\"problem-image\" height=\"235\" src=\"https://latex.artofproblemsolving.com/f/d/3/fd36c0563f1447ec842cc791ac398c4cd8f20685.png\" width=\"252\"/>\n</center>\n\n$\\textbf{(A)}\\ 10\\pi+4\\sqrt{3}\\qquad\\textbf{(B)}\\ 13\\pi-\\sqrt{3}\\qquad\\textbf{(C)}\\ 12\\pi+\\sqrt{3}\\qquad\\textbf{(D)}\\ 10\\pi+9\\qquad\\textbf{(E)}\\ 13\\pi$", "description_html": "<p>Three circles with radius 2 are mutually tangent. What is the total area of the circles and the region bounded by them, as shown in the figure?</p>\n<center>\n<img class=\"problem-image\" height=\"235\" src=\"https://latex.artofproblemsolving.com/f/d/3/fd36c0563f1447ec842cc791ac398c4cd8f20685.png\" width=\"252\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 10\\pi+4\\sqrt{3}\\qquad\\textbf{(B)}\\ 13\\pi-\\sqrt{3}\\qquad\\textbf{(C)}\\ 12\\pi+\\sqrt{3}\\qquad\\textbf{(D)}\\ 10\\pi+9\\qquad\\textbf{(E)}\\ 13\\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": "2012 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10B_p17", "prev": "/problem/12_amc10B_p15"}}