Question

Find the area of the sector round to the nearest hundredth if needed

Answer 1

Given:

Find-: Area of the shaded region.

Sol:

Arc area of the circle is:

$\text{ Area = }\frac{\theta}{360}(\pi r^2)$

Where,

$\begin{gathered} \theta=240 \\ \\ r=7 \end{gathered}$

So the area is:

$\begin{gathered} \text{ Area=}\frac{\theta}{360}\times(\pi r^2) \\ \\ =\frac{240}{360}\times(\pi\times7^2) \\ \\ =\frac{240}{360}\times49\pi \\ \\ =0.6667\times49\pi \\ \\ =102.625 \end{gathered}$

So the area is 102.625