Answer:
42.43 [tex]cm^{2}[/tex]
Step-by-step explanation:
Given:
A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
Question asked:
What is the area of the shaded region as shown in the figure ?
Solution:
First of all calculate area of circle and then area of rectangle:-
[tex]Area\ of\ cirle=\pi r^{2}[/tex]
[tex]= =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571[/tex]
As here length an width both are 11 cm, we can say that this is a square.
[tex]Area\ of\ square=(Side)^{2}[/tex]
= [tex]=11\times11=121\ cm^{2}[/tex]
Now, area of shaded region = Area of square - Area of circle
= 121 - 78.571 = 42.429 [tex]cm^{2}[/tex]
Therefore, the area of the shaded region will be 42.43 [tex]cm^{2}[/tex]
