Question

Find the area of the sector in bold. Round the answer to the nearest tenth.

Answer 1

To find the area of a sector of a circle, use the next formula (when the angle is given in degrees):

`A=(\theta)/(360º)*\pi r^2`

For the given sector:

`A=(90º)/(360º)*\pi(17m)\placeholder{⬚}^2`
`\begin{gathered} A=(1)/(4)*\pi *289m^2 \\ \\ A=72.25\pi m^2 \\ \\ A\approx227.0m^2 \end{gathered}`Then, the area of the given sector of a circle is 227 square meters