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 :
[tex]$A_{\text{shaded region}}=\frac{\theta}{360}\times \pi r^2$[/tex]
[tex]$=\frac{270}{360}\times \pi \times 6^2$[/tex]
[tex]$=\frac{9720 \pi}{360}$[/tex]
[tex]$=84.82 \ cm^2$[/tex]
[tex]$=84.8 \ cm^2$[/tex] (rounding off)
