The shape formed after wrapping plastic around the carrot is a cone and the slant height is provided as 6 inches. Also the diameter is given as 12 inches, which means the radius is 6 inches (radius is half of the diameter).
The area of the plastic (which does not include the base) used shall be;
[tex]\begin{gathered} Area=\pi rl \\ \text{Area}=3.14\times6\times6 \\ \text{Area}=113.04in^2 \end{gathered}[/tex]This approximately 113 square inches.