Answer:

 

Assuming only the area is considered, the price should be $51.96, four times the price of the original pizza. 

The area of the original pizza is 706.5 square inches while the area of the new pizza is 2826 square inches,

or 4 times the area of the original.

 

All circles are similar.  Since the scale factor is 2, the area increases by the square of 2, or four times.

 

  

DEFINITION:

Dilation -- a transformation in which a similar image is formed  by enlarging (magnification) or reducing (contraction) its pre-image.  The image and its pre-image are similar figures.[1]


 

[1] Geometry to go (p.452). (2001). Wilmington, MA:  Great Source Education Group, Inc.