Answer:
9.76m²
Step-by-step explanation:
The area of the square is
[tex]Area = {s}^{2} [/tex]
where s=8m is the side length.
This means that:
[tex]Area = {8}^{2} = 64 {m}^{2} [/tex]
The area of a circle is
[tex]Area = \pi \: {r}^{2} [/tex]
From the diagram, the diameter is 8m.
This means that the radius is
[tex]r = \frac{8}{2} = 4m[/tex]
The area of the circle then becomes,
[tex]Area =3.14\: \times {4}^{2} = 3.14 \times 16[/tex]
[tex]Area = 50.24 {m}^{2} [/tex]
The area of shaded region is area of square minus area of circle.
[tex]Area \: of \: shaded \: region = 64 - 50.24 = 9.76 {m}^{2} [/tex]
