The area of the shaded region is 10.54 cm square
Given-
The side of the square is 7 cm.
Let the shaded area be x m square and a is the length of the square.
A circle is inside the square.
To find out the shaded region, The area of the circle has to subtract from the area of the square.
Area of shaded region:
Shaded area(x) = area of square - area of circle
[tex]x=a^2-\pi \times\dfrac{d^2}{4}[/tex]
Now, as the circle is perfectly drawn inside the square touching from four points of the square.
Therefore, the diameter will be equal to the side of the square which is a.
[tex]x=a^2-\pi \times\dfrac{a^2}{4}[/tex]
[tex]x=7^2-3.14\times\dfrac{7^2}{4}[/tex]
[tex]x=49-3.14\times\dfrac{49}{4}[/tex]
[tex]x=49-38.465[/tex][tex]x=10.54[/tex]
Hence, the area of the shaded region is 10.54 cm square.
For more about the square follow the link below-
https://brainly.com/question/11833983
