Question

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

Answer 1

84.8 centimeter square

Step-by-step 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 :

`$A_{\text{shaded region}}=(\theta)/(360)* \pi r^2$`

`$=(270)/(360)* \pi * 6^2$`

`$=(9720 \pi)/(360)$`

`$=84.82 \ cm^2$`

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