If a piston has a diameter of 4 inches, what is the cross-sectional area A in square inches?

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Multiple Choice

If a piston has a diameter of 4 inches, what is the cross-sectional area A in square inches?

Explanation:
Area of a circle is found with A = πr^2, and the radius is half the diameter. With a diameter of 4 inches, the radius is 2 inches. So the area is A = π × (2)^2 = 4π ≈ 12.57 square inches. Using A = (π/4)D^2 also gives A = (π/4) × 16 = 4π ≈ 12.57. The value 12.57 matches the correct area for this diameter.

Area of a circle is found with A = πr^2, and the radius is half the diameter. With a diameter of 4 inches, the radius is 2 inches. So the area is A = π × (2)^2 = 4π ≈ 12.57 square inches. Using A = (π/4)D^2 also gives A = (π/4) × 16 = 4π ≈ 12.57. The value 12.57 matches the correct area for this diameter.

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