{"status": "success", "data": {"description_md": "Four congruent semicircles are drawn on the surface of a sphere with radius $2$, as\nshown, creating a close curve that divides the surface into two congruent regions.\nThe length of the curve is $\\pi\\sqrt{n}$. What is $n$?\n[[Image:202310bQ20.jpeg|center]]\n\n$\\textbf{(A) } 32 \\qquad \\textbf{(B) } 12 \\qquad \\textbf{(C) } 48 \\qquad \\textbf{(D) } 36 \\qquad \\textbf{(E) } 27$", "description_html": "<p>Four congruent semicircles are drawn on the surface of a sphere with radius  <span class=\"katex--inline\">2</span> , as<br/>\nshown, creating a close curve that divides the surface into two congruent regions.<br/>\nThe length of the curve is  <span class=\"katex--inline\">\\pi\\sqrt{n}</span> . What is  <span class=\"katex--inline\">n</span> ?<br/>\n[[Image:202310bQ20.jpeg|center]]</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 32 \\qquad \\textbf{(B) } 12 \\qquad \\textbf{(C) } 48 \\qquad \\textbf{(D) } 36 \\qquad \\textbf{(E) } 27</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": "2023 AMC 10B Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10B_p21", "prev": "/problem/23_amc10B_p19"}}