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Difference between revisions of "2016 AMC 10B Problems/Problem 20"

(Created page with "==Problem== A dilatation of the plane—that is, a size transformation with a positive scale factor—sends the circle of radius <math>2</math> centered at <math>A(2,2)</math...")
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Revision as of 09:28, 21 February 2016

Problem

A dilatation 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?

$\textbf{(A)}\ 0\qquad\textbf{(B)}\ 3\qquad\textbf{(C)}\ \sqrt{13}\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5$

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