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