Answer:
219.7522cm^2
Step-by-step explanation:
To find area of black portion, we will find the area of the whole square first.
Length of square = 4xRadius of circle
= 4 x 8cm
= 32cm
Area of Square = Length x Width = 32x32
= [tex]1024cm^{2}[/tex]
Now we find the area of the 4 circles.
Area of 4 circles = 4 x Area of circle
= [tex]4\pi r^{2}[/tex]
= [tex]4\pi (8)^{2} \\=4\pi (64)\\=256\pi cm^{2}[/tex]
Area of black portion = Area of square - Area of 4 circles
= [tex]1024cm^{2} -256\pi cm^{2}[/tex]
= [tex]219.7522cm^{2}[/tex]
