{"status": "success", "data": {"description_md": "Circles of radius $2$ and $3$ are externally tangent and are circumscribed by a third circle, as shown in the figure. Find the area of the shaded region.\n$$\n<center>\n<img class=\"problem-image\" height=\"238\" src=\"https://latex.artofproblemsolving.com/2/c/5/2c5a7bbafa30af5c988825a58d564ad2037aaa7b.png\" width=\"238\"/>\n</center>$$\n\n$\\mathrm{(A) \\ } 3\\pi\\qquad \\mathrm{(B) \\ } 4\\pi\\qquad \\mathrm{(C) \\ } 6\\pi\\qquad \\mathrm{(D) \\ } 9\\pi\\qquad \\mathrm{(E) \\ } 12\\pi$", "description_html": "<p>Circles of radius  <span class=\"katex--inline\">2</span>  and  <span class=\"katex--inline\">3</span>  are externally tangent and are circumscribed by a third circle, as shown in the figure. Find the area of the shaded region.<br/>\n$$</p>\n<center>\n<img class=\"problem-image\" height=\"238\" src=\"https://latex.artofproblemsolving.com/2/c/5/2c5a7bbafa30af5c988825a58d564ad2037aaa7b.png\" width=\"238\"/>\n</center>$$\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 3\\pi\\qquad \\mathrm{(B) \\ } 4\\pi\\qquad \\mathrm{(C) \\ } 6\\pi\\qquad \\mathrm{(D) \\ } 9\\pi\\qquad \\mathrm{(E) \\ } 12\\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": 1, "problem_name": "2002 AMC 10B Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10B_p06", "prev": "/problem/02_amc10B_p04"}}