Question

See attached question Options O A. 905 17O B. 254 fl?O C. 226 17?O D. 990 Ft?

Answer 1

In the given figure,

`\begin{gathered} R\text{ = 9 ft} \\ r\text{ = 3 ft} \end{gathered}`

Area of the shaded region is calculated as,

`\begin{gathered} Area\text{ = }\pi R^2\text{ - }\pi r^2 \\ Area\text{ = }\pi(R^2-r^2) \\ Area\text{ = 3.14}*[\left(9\right)^2\text{ - \lparen3\rparen}^2] \\ Area\text{ = 3.14}*\text{ \lbrack 81 - 9 \rbrack} \\ Area\text{ = 3.14}*[72] \\ Area\text{ = 226.08}\approx\text{ 226 ft}^2 \end{gathered}`

Thus the area of the shaded region is 226 square feet.