{"status": "success", "data": {"description_md": "In the figure below, $N$ congruent semicircles are drawn along a diameter of a large semicircle, with their diameters covering the diameter of the large semicircle with no overlap. Let $A$ be the combined area of the small semicircles and $B$ be the area of the region inside the large semicircle but outside the small semicircles. The ratio $A:B$ is $1:18$. What is $N$?\n\t\n\n<center>\n<img class=\"problem-image\" height=\"128\" src=\"https://latex.artofproblemsolving.com/9/0/1/901531f4b527616e8cc1a1884115f9781f713e0f.png\" width=\"252\"/>\n</center>\n\n$\\textbf{(A) }16 \\qquad\n\\textbf{(B) }17 \\qquad\n\\textbf{(C) }18 \\qquad\n\\textbf{(D) }19 \\qquad\n\\textbf{(E) }36 \\qquad$", "description_html": "<p>In the figure below,  <span class=\"katex--inline\">N</span>  congruent semicircles are drawn along a diameter of a large semicircle, with their diameters covering the diameter of the large semicircle with no overlap. Let  <span class=\"katex--inline\">A</span>  be the combined area of the small semicircles and  <span class=\"katex--inline\">B</span>  be the area of the region inside the large semicircle but outside the small semicircles. The ratio  <span class=\"katex--inline\">A:B</span>  is  <span class=\"katex--inline\">1:18</span> . What is  <span class=\"katex--inline\">N</span> ?</p>\n<center>\n<img class=\"problem-image\" height=\"128\" src=\"https://latex.artofproblemsolving.com/9/0/1/901531f4b527616e8cc1a1884115f9781f713e0f.png\" width=\"252\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf{(A) }16 \\qquad\n\\textbf{(B) }17 \\qquad\n\\textbf{(C) }18 \\qquad\n\\textbf{(D) }19 \\qquad\n\\textbf{(E) }36 \\qquad</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": "2018 AMC 10B Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p08", "prev": "/problem/18_amc10B_p06"}}