The area of shaded region is 70 square unit.
Area is the amount of space covered by a flat shape or surface.
The formula for the area of a square with a side "a" is given by
[tex]Area = a^{2}[/tex]
The formula for the area of circle with the radius r is given by
[tex]Area = \pi r^{2}[/tex]
According to the given question.
We have a figure, in which a circle is inscribed in a square.
Also, a circle with a radius 9unit.
Since, the diameter of the circle = length of the side of a square
⇒ Length of the side of square = 2 × 9 = 18 units
Now, the area of circle = [tex]\pi r^{2}= (3.14)(9)^{2} =254.34square unit[/tex]
Area of square = [tex]18^{2} = 324square unit[/tex]
Therefore,
The area of shaded region
= Area of square - area of circle
= 324 - 254.34
= 69.66
= 70 square unit.
Hence, the area of shaded region is 70 square unit.
Find out more information about area of circle and square here:
https://brainly.com/question/22964077
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