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):

$A=\frac{\theta}{360º}*\pi r^2$

For the given sector:

$A=\frac{90º}{360º}*\pi(17m)\placeholder{⬚}^2$$\begin{gathered} A=\frac{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