{"status": "success", "data": {"description_md": "Each of the small circles in the figure has radius one. The innermost circle is tangent to the six circles that surround it, and each of those circles is tangent to the large circle and to its small-circle neighbors. Find the area of the shaded region.<br><center><img class=\"problem-image\" alt=\"[asy] unitsize(.3cm); path c=Circle((0,2),1); filldraw(Circle((0,0),3),grey,black); filldraw(Circle((0,0),1),white,black); filldraw(c,white,black); filldraw(rotate(60)*c,white,black); filldraw(rotate(120)*c,white,black); filldraw(rotate(180)*c,white,black); filldraw(rotate(240)*c,white,black); filldraw(rotate(300)*c,white,black); [/asy]\" class=\"latexcenter\" height=\"88\" src=\"https://latex.artofproblemsolving.com/e/4/2/e42bf637d6aea8385012d9ddf6ed3b031156bddb.png\" width=\"88\"/></center>\n\n$\\text{(A)}\\ \\pi \\qquad \\text{(B)}\\ 1.5\\pi \\qquad \\text{(C)}\\ 2\\pi \\qquad \\text{(D)}\\ 3\\pi \\qquad \\text{(E)}\\ 3.5\\pi$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Each of the small circles in the figure has radius one. The innermost circle is tangent to the six circles that surround it, and each of those circles is tangent to the large circle and to its small-circle neighbors. Find the area of the shaded region.<br/><center><img class=\"latexcenter\" alt=\"[asy] unitsize(.3cm); path c=Circle((0,2),1); filldraw(Circle((0,0),3),grey,black); filldraw(Circle((0,0),1),white,black); filldraw(c,white,black); filldraw(rotate(60)*c,white,black); filldraw(rotate(120)*c,white,black); filldraw(rotate(180)*c,white,black); filldraw(rotate(240)*c,white,black); filldraw(rotate(300)*c,white,black); [/asy]\" height=\"88\" src=\"https://latex.artofproblemsolving.com/e/4/2/e42bf637d6aea8385012d9ddf6ed3b031156bddb.png\" width=\"88\"/></center></p>&#10;<p> <span class=\"katex--inline\">\\text{(A)}\\ \\pi \\qquad \\text{(B)}\\ 1.5\\pi \\qquad \\text{(C)}\\ 2\\pi \\qquad \\text{(D)}\\ 3\\pi \\qquad \\text{(E)}\\ 3.5\\pi</span> </p>&#10;<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": 2, "problem_name": "2002 AMC 12A Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12A_p06", "prev": "/problem/02_amc12A_p04"}}