ANSWER
NO, the area is not doubled but multiplied by 4.
EXPLANATION
Given a pizza in a circular shape.
Area of a circular pizza
[tex]Area\text{ \lparen without doubling the radius\rparen = }\pi\text{ r}^2[/tex]When the radius is doubled
r' = 2r
[tex]\begin{gathered} Area\text{ \lparen with doubled radius\rparen = }\pi\text{ \lparen2r\rparen}^2 \\ Area\text{ = 4 }\pi\text{ r}^2 \end{gathered}[/tex]Hence, when the radius is doubled the area (The amount of pizza you get) is not doubled but multiplied by 4.
