Area of shaded region is 21.5 square centimeter
Solution:
The area of the shaded region is equal to the area of the square minus the area of the circle
Find the area of the square
[tex]Area\ of\ square = a^2[/tex]
Where, "a" is the length of each side
From given figure in question,
a = 10 cm
[tex]Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2[/tex]
Find the area of circle
The area of the circle is given as:
[tex]Area\ of\ circle = \pi r^2[/tex]
Where, "r" is the radius of circle
Diameter = 10 cm
[tex]r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5[/tex]
Thus,
[tex]Area\ of\ circle = 3.14 \times 5^2\\\\Area\ of\ circle = 3.14 \times 25\\\\Area\ of\ circle = 78.5\ cm^2[/tex]
Find the area of the shaded region
Area of shaded Region = Area of Square - Area of Circle
Area of shaded Region = 100 - 78.5 = 21.5
Thus area of shaded region is 21.5 square centimeter
