Final answer:The area of the piston is 9π square inches.Therefore the correct answer is: a) 9π square inchesExplanation:To find the area of the piston, we need to use the formula for the area of a circle, which is A = πr², where r is the radius of the circle. In this case, the diameter of the piston is given as 6 inches. The radius is half the diameter, so the radius would be 6/2 = 3 inches. Plugging this value into the formula, we get A = π(3 inches)². Evaluating this expression, we find that the area of the piston is 9π square inches.To calculate the area of a piston with a 6-inch diameter, we use the formula for the area of a circle, A = πr², where r is the radius of the circle.First, we find the radius of the piston by dividing the diameter by two:R = ½ × diameter = ½ × 6 inches = 3 inchesNow, we apply the radius to the area formula:A = π × (3 inches)² = 9π square inchesTherefore, the area of the piston in square inches is 9π square inches....

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