{"status": "success", "data": {"description_md": "A square has sides of length $10$, and a circle centered at one of its vertices has radius $10$. What is the area of the union of the regions enclosed by the square and the circle?\n\n$\\mathrm{(A) \\ } 200+25\\pi \\qquad \\mathrm{(B) \\ } 100+75\\pi \\qquad \\mathrm{(C) \\ } 75+100\\pi \\qquad \\mathrm{(D) \\ } 100+100\\pi \\qquad \\mathrm{(E) \\ } 100+125\\pi$", "description_html": "<p>A square has sides of length  <span class=\"katex--inline\">10</span> , and a circle centered at one of its vertices has radius  <span class=\"katex--inline\">10</span> . What is the area of the union of the regions enclosed by the square and the circle?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 200+25\\pi \\qquad \\mathrm{(B) \\ } 100+75\\pi \\qquad \\mathrm{(C) \\ } 75+100\\pi \\qquad \\mathrm{(D) \\ } 100+100\\pi \\qquad \\mathrm{(E) \\ } 100+125\\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": "2004 AMC 10B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc10B_p10", "prev": "/problem/04_amc10B_p08"}}