{"status": "success", "data": {"description_md": "A dilation of the plane-that is, a size transformation with a positive scale factor-sends 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-that is, a size transformation with a positive scale factor-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'(5,6)</span>. What distance does the origin <span class=\"katex--inline\">O(0,0)</span>, move under this transformation?</p>&#10;<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>&#10;", "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"}}