In the given figure,
[tex]\begin{gathered} R\text{ = 9 ft} \\ r\text{ = 3 ft} \end{gathered}[/tex]
Area of the shaded region is calculated as,
[tex]\begin{gathered} Area\text{ = }\pi R^2\text{ - }\pi r^2 \\ Area\text{ = }\pi(R^2-r^2) \\ Area\text{ = 3.14}\times[\left(9\right)^2\text{ - \lparen3\rparen}^2] \\ Area\text{ = 3.14}\times\text{ \lbrack 81 - 9 \rbrack} \\ Area\text{ = 3.14}\times[72] \\ Area\text{ = 226.08}\approx\text{ 226 ft}^2 \end{gathered}[/tex]
Thus the area of the shaded region is 226 square feet.
