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 = }(\theta)/(360)(\pi r^2)`

Where,

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

So the area is:

`\begin{gathered} \text{ Area=}(\theta)/(360)*(\pi r^2) \\ \\ =(240)/(360)*(\pi*7^2) \\ \\ =(240)/(360)*49\pi \\ \\ =0.6667*49\pi \\ \\ =102.625 \end{gathered}`

So the area is 102.625