What is the approximate area, in square feet of the remaining board?

The side of the square is 12 feet.
Hence the area of the square is
[tex]A=12\times12=144[/tex]Now the area of the circle is
[tex]B=3.14\times6\times6[/tex]Since the radius is 12/2=6.
B= 113.04
Hence the required area is A-B = 144-113.04 =30.96
That is 31 feet^2.