This problem involves finding the area of a circle given its diameter. The formula for finding the area of a circle is A = πr^2, where A is the area and r is the radius. Since the diameter is given, we can find the radius by dividing it by 2.
In this case, the diameter is 6 inches, so the radius is 3 inches. Plugging this value into the formula gives A = 3.14 x 3^2 = 28.26 square inches. Therefore, the area of the circle is approximately 28.26 square inches. This problem demonstrates the use of basic geometry concepts and the formula for finding the area of a circle.
It also highlights the importance of understanding and correctly applying mathematical formulas in solving real-world problems.