Question

Find the area of the shaded region. Round to the nearest hundredth where necessary.Immersive Reader (1 Point)

Answer 1

Answer:

84.8 centimeter square

Explanation:

An area is defined as an extent of a space or a region in a two dimension or in a plane. It is the measure of the how much space it occupies in a plane.

In the given figure,

Radius of the circle, r = 6 cm

We have to find out the area of the shaded region which is a sector.

Therefore, area of the shaded region is given by :

$A_{\text{shaded region}}=\frac{\theta}{360}\times \pi r^2$

                    $=\frac{270}{360}\times \pi \times 6^2$

                    $=\frac{9720 \pi}{360}$

                   $=84.82 \ cm^2$

                   $=84.8 \ cm^2$ (rounding off)