Answer:
The approximate area of the remaining board is [tex]13.76\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of the remaining board is equal to the area of the square minus the area of the circle
so
[tex]A=b^{2} -\pi r^{2}[/tex]
where
[tex]b=8\ ft[/tex] ---> side length of the square
[tex]r=8/2=4\ ft[/tex] --> radius of the largest possible circle
[tex]\pi=3.14[/tex]
substitute the values
[tex]A=8^{2} -(3.14)(4)^{2}=13.76\ ft^{2}[/tex]
