{"status": "success", "data": {"description_md": "A dilation of the planethat is, a size transformation with a positive scale factorsends the circle of radius $2$ centered at $A(2,2)$ to the circle of radius $3$ centered at $A(5,6)$. What distance does the origin $O(0,0)$, move under this transformation?\n\n$\\textbf{(A)}\\ 0\\qquad\\textbf{(B)}\\ 3\\qquad\\textbf{(C)}\\ \\sqrt{13}\\qquad\\textbf{(D)}\\ 4\\qquad\\textbf{(E)}\\ 5$", "description_html": "<p>A dilation of the plane&#8212;that is, a size transformation with a positive scale factor&#8212;sends the circle of radius  <span class=\"katex--inline\">2</span>  centered at  <span class=\"katex--inline\">A(2,2)</span>  to the circle of radius  <span class=\"katex--inline\">3</span>  centered at  <span class=\"katex--inline\">A&#8217;(5,6)</span> . What distance does the origin  <span class=\"katex--inline\">O(0,0)</span> , move under this transformation?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 0\\qquad\\textbf{(B)}\\ 3\\qquad\\textbf{(C)}\\ \\sqrt{13}\\qquad\\textbf{(D)}\\ 4\\qquad\\textbf{(E)}\\ 5</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": "2016 AMC 10B Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc10B_p21", "prev": "/problem/16_amc10B_p19"}}