Given:
Given that the length of the side of the square is 12 cm.
The given figure consists of two circles with radius of 3 cm each.
We need to determine the area of the shaded region.
Area of the square:
The area of the square can be determined using the formula,
[tex]A=s^2[/tex]
Substituting s = 12, we get;
[tex]A=12^2[/tex]
[tex]A=144 \ cm^2[/tex]
Thus, the area of the square is 144 square cm.
Area of the two circles:
The area of the circle can be determined using the formula,
[tex]A=\pi r^2[/tex]
Substituting r = 3, we get;
[tex]A=(3.14)(3)^2[/tex]
[tex]A=(3.14)(9)[/tex]
[tex]A=28.26 \ cm^2[/tex]
The area of 2 circles is given by
[tex]A=2(28.26)[/tex]
[tex]A=56.52 \ cm^2[/tex]
Thus, the area of the two circles is 56.52 square cm.
Area of the shaded region:
The area of the shaded region can be determined by subtracting the area of the two circles from the area of the square.
Thus, we have;
Area = Area of square - Area of two circles.
Substituting the values, we get;
[tex]Area = 144- 56.52[/tex]
[tex]Area=87.5 \ cm^2[/tex]
Thus, the area of the shaded region is 87.5 square cm.
