2016 AMC 10B Problems/Problem 20

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?

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

Solution

2016 AMC 10B (Problems • Answer Key • Resources)
Preceded by Problem 19	Followed by Problem 20
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All AMC 10 Problems and Solutions

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2016 AMC 10B Problems/Problem 20

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Solution

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