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The formula for the area of a circle is A = πr^2, where r is the radius of the circle. Since the diameter is twice the radius, we can find the radius by dividing the diameter by 2: r = 6 ft / 2 = 3 ft.
Now we can plug the radius into the formula for the area of a circle: A = π(3 ft)^2 = π(9 ft^2) = 9π ft^2.
Therefore, the area of the circle is 9π square feet.