The area of a circle is given by the formula
[tex]\begin{gathered} A=\pi r^2 \\ \text{where }r\text{ is the radius of the circle} \end{gathered}[/tex]
(a) Given that the radius of the circle is 9.2 feet, the area of the circle is.
[tex]\begin{gathered} A=\pi r^2 \\ A=(3.14)(9.2\text{ ft})^2 \\ A=265.7696\text{ ft}^2 \\ \text{when rounded off to hundredths, the area is} \\ A=265.77\text{ ft}^2 \end{gathered}[/tex]
(b) Now that we know the area of the circle, we can now solve for the area of 3 sectors of circle when it is divided by 8.
First, divide the area to 8, then multiply it by 3.
[tex]\begin{gathered} A_{3\text{ sectors}}=\frac{265.77\text{ ft}^2}{8}\times3 \\ A_{3\text{ sectors}}=33.22125\text{ ft}^2\times3 \\ A_{3\text{ sectors}}=99.66375\text{ ft}^2 \\ \text{rounded off to hundredths and we get} \\ A_{3\text{ sectors}}=99.66\text{ ft}^2 \end{gathered}[/tex]
