{"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\n<center>\n<img class=\"problem-image\" src=\"https://wiki-images.artofproblemsolving.com//e/e9/202310bQ20.jpeg\"/>  \n</center><br>\n\n$\\textbf{(A) } 32 \\qquad \\textbf{(B) } 12 \\qquad \\textbf{(C) } 48 \\qquad \\textbf{(D) } 36 \\qquad \\textbf{(E) } 27$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Four congruent semicircles are drawn on the surface of a sphere with radius <span class=\"katex--inline\">2</span>, as<br/>&#10;shown, creating a close curve that divides the surface into two congruent regions.<br/>&#10;The length of the curve is <span class=\"katex--inline\">\\pi\\sqrt{n}</span>. What is <span class=\"katex--inline\">n</span>?</p>&#10;<center>&#10;<img class=\"problem-image\" src=\"https://wiki-images.artofproblemsolving.com//e/e9/202310bQ20.jpeg\"/>  &#10;</center><br/>&#10;<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>&#10;<hr/>&#10;<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>&#10;", "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"}}