{"status": "success", "data": {"description_md": "Two circles of radius $2$ are centered at $(2,0)$ and at $(0,2).$ What is the area of the intersection of the interiors of the two circles?\n\n$\\textbf{(A) } \\pi -2 \\qquad\\textbf{(B) } \\frac{\\pi}{2} \\qquad\\textbf{(C) } \\frac{\\pi \\sqrt{3}}{3} \\qquad\\textbf{(D) } 2(\\pi -2) \\qquad\\textbf{(E) } \\pi$", "description_html": "<p>Two circles of radius  <span class=\"katex--inline\">2</span>  are centered at  <span class=\"katex--inline\">(2,0)</span>  and at  <span class=\"katex--inline\">(0,2).</span>  What is the area of the intersection of the interiors of the two circles?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\pi -2 \\qquad\\textbf{(B) } \\frac{\\pi}{2} \\qquad\\textbf{(C) } \\frac{\\pi \\sqrt{3}}{3} \\qquad\\textbf{(D) } 2(\\pi -2) \\qquad\\textbf{(E) } \\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": "2007 AMC 10B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10B_p14", "prev": "/problem/07_amc10B_p12"}}