{"status": "success", "data": {"description_md": "A circle is inscribed in a square, then a square is inscribed in this circle, and finally, a circle is inscribed in this square. What is the ratio of the area of the smaller circle to the area of the larger square?\n\n$\\mathrm{(A)} \\frac{\\pi}{16} \\qquad \\mathrm{(B)} \\frac{\\pi}{8} \\qquad \\mathrm{(C)} \\frac{3\\pi}{16} \\qquad \\mathrm{(D)} \\frac{\\pi}{4} \\qquad \\mathrm{(E)} \\frac{\\pi}{2}$", "description_html": "<p>A circle is inscribed in a square, then a square is inscribed in this circle, and finally, a circle is inscribed in this square. What is the ratio of the area of the smaller circle to the area of the larger square?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)} \\frac{\\pi}{16} \\qquad \\mathrm{(B)} \\frac{\\pi}{8} \\qquad \\mathrm{(C)} \\frac{3\\pi}{16} \\qquad \\mathrm{(D)} \\frac{\\pi}{4} \\qquad \\mathrm{(E)} \\frac{\\pi}{2}</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": "2005 AMC 10B Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p08", "prev": "/problem/05_amc10B_p06"}}