Step 1 :The problem is asking for the area of a circle. The formula for the area of a circle is \(\pi r^2\), where r is the radius of the circle.
Step 2 :The radius is half the diameter, so in this case, the radius is \(\frac{133}{2} = 66.5\) feet.
Step 3 :Substitute the radius into the formula: \(\pi (66.5)^2\).
Step 4 :The area of the circle is approximately 13892.908112337462 square feet.
Step 5 :Round the area to the nearest tenth of a square foot to get \(\boxed{13892.9}\) square feet.