The largest possible circle is to be cut from a 12-foot square board. calculate the approximate area, in square feet, of the remaining board (unshaded region)? (a = πr2). (pic is in question comments)

Find Area of the circle:

Area of a circle = πr²
Area of the largest possible circle = π x(12 ÷ 2)²
Area of the largest possible circle = 113.10 ft²


Find Area of the square board:

Area of a square board = Length x Length
Area of the square board = 12 x 12 
Area of the square board = 144 ft²


Find area of the remaining board:

Area of the remaining board = 144 - 113.10 
Area of the remaining board = 30.90 ft²


The area of the remaining board is 30.90 ft².