The area of the tablecloth is 4 square feet.
Since the square tablecloth covers the circular table with its corners touching the edge, the side length of the square tablecloth (s) corresponds to the diameter of the circular table.
We know the table area is π square feet.
We can also express it in terms of the diameter using the formula for the area of a circle;
π = π × (s/2)²
Solve for side length:
Simplifying the equation, we get ;
s² = 4.
Therefore, the side length of the tablecloth is s = 2 feet.
The area of the tablecloth is simply the square of the side length: tablecloth area = s² = 4 square feet.