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
\(x=a^2-\pi \times\dfrac{d^2}{4}\)
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.
\(x=a^2-\pi \times\dfrac{a^2}{4}\)
\(x=7^2-3.14\times\dfrac{7^2}{4}\)
\(x=49-3.14\times\dfrac{49}{4}\)
\(x=49-38.465\)\(x=10.54\)
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
