Find the diameter of a piston with an area of 57.02 square inches. Express the answer to the nearest hundredth inch.
A) 8.52
B) 8.78
C) 9.01
D) 9.36

Question

Quizplus · Accepted Answer

The area of a circle is given by the formula A = πr², where A is the area and r is the radius. The diameter is twice the radius, so d = 2r. Substituting this into the area formula, we get A = π(d/2)². Solving for d, we get d = √(4A/π). Plugging in the given area of 57.02 square inches, we get d = √(4(57.02)/π) ≈ 8.52 inches.

Find the Diameter of a Piston with an Area of 57.02