{"status": "success", "data": {"description_md": "A square of side length $1$ and a circle of radius $\\dfrac{\\sqrt{3}}{3}$ share the same center. What is the area inside the circle, but outside the square?\n\n$\\textbf{(A)}\\ \\dfrac{\\pi}{3}-1\n\\qquad\n\\textbf{(B)}\\ \\dfrac{2\\pi}{9}-\\dfrac{\\sqrt{3}}{3}\n\\qquad\n\\textbf{(C)}\\ \\dfrac{\\pi}{18}\n\\qquad\n\\textbf{(D)}\\ \\dfrac{1}{4}\n\\qquad\n\\textbf{(E)}\\ \\dfrac{2\\pi}{9}$", "description_html": "<p>A square of side length  <span class=\"katex--inline\">1</span>  and a circle of radius  <span class=\"katex--inline\">\\dfrac{\\sqrt{3}}{3}</span>  share the same center. What is the area inside the circle, but outside the square?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\dfrac{\\pi}{3}-1\n\\qquad\n\\textbf{(B)}\\ \\dfrac{2\\pi}{9}-\\dfrac{\\sqrt{3}}{3}\n\\qquad\n\\textbf{(C)}\\ \\dfrac{\\pi}{18}\n\\qquad\n\\textbf{(D)}\\ \\dfrac{1}{4}\n\\qquad\n\\textbf{(E)}\\ \\dfrac{2\\pi}{9}</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": "2010 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc10B_p17", "prev": "/problem/10_amc10B_p15"}}