AMC 10B 2016 Problem 20

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^{\prime}(5,6). What distance does the origin O(0,0) move under this transformation?

Answer Choices
A. 0
B. 3
C. \sqrt{13}
D. 4
E. 5