Answer:
[tex]Area = 21.5ft^2[/tex]
Step-by-step explanation:
See attachment
Given
Square:
[tex]Length = 10ft[/tex]
Circle:
[tex]Diameter = 10ft[/tex]
[tex]\pi = 3.14[/tex]
Required: Calculate the area of the shaded region
First, calculate the area of the square:
[tex]A_1 = Length^2[/tex]
[tex]A_1 = (10ft)^2[/tex]
[tex]A_1 = 100ft^2[/tex]
Next, the area of the circle.
[tex]A_2 =\pi * \frac{d^2}{4}[/tex]
[tex]A_2 =3.14 * \frac{10^2}{4}[/tex]
[tex]A_2 =3.14 * \frac{100}{4}[/tex]
[tex]A_2 =3.14 * 25[/tex]
[tex]A_2 =78.5ft^2[/tex]
The shaded region has the following area
[tex]Area = A_1 - A_2[/tex]
i.e. the difference between the area of the square and the area of the circle
[tex]Area = 100ft^2 - 78.5ft^2[/tex]
[tex]Area = 21.5ft^2[/tex]
