Question

Find the area of the shaded region.1765°Note: Use either the pi button on your calculator or 3.14 for pi. Round to the nearest tenth.

Answer 1

The given image is of the circle with radius 7,

The area of sector express as;

$\text{ Area of Sector =}\frac{\theta}{360}\times\Pi\times r^2$

Here, angle is 65 and r = 7;

$\begin{gathered} \text{ Area of Sector =}\frac{\theta}{360}\times\Pi\times r^2 \\ \text{ Area of Sector =}\frac{65}{360}\times\Pi\times7^2 \\ \text{ Area of sector =}\frac{637}{72}\Pi \\ \text{Area of sector }=\frac{637}{72}\times3.14 \\ \text{Area of sector }=27.79 \end{gathered}$

So, area of shaded region is 27.79 unit square

Answer : 27.79 unit square