What formula can be used to calculate the circumference of a cylinder's base with a radius of 8 inches?

What formula can be used to calculate the circumference of a cylinder's base with a radius of 8 inches?

• A. C = 2πr
• B. C = πd
• C. C = r² + h²
• D. C = 2πr + h

Answer: (A)

The formula used to calculate the circumference of a cylinder's base is derived from the geometry of circles. The circumference (C) of a circle is determined by the formula C = 2πr, where r represents the radius of the circle. In the case of a cylinder's base, which is a circle with a radius of 8 inches, applying the formula gives: C = 2π(8) = 16π inches. This correctly represents the total distance around the base of the cylinder. The other choices do not correspond to the circumference of a circle. For instance, the formula involving πd would require knowing the diameter, and the formulas involving h do not pertain to the circumference at all. Therefore, the choice that directly defines the circumference in terms of the radius is the appropriate one.

The formula used to calculate the circumference of a cylinder's base is derived from the geometry of circles. The circumference (C) of a circle is determined by the formula C = 2πr, where r represents the radius of the circle.

In the case of a cylinder's base, which is a circle with a radius of 8 inches, applying the formula gives:

C = 2π(8) = 16π inches.

This correctly represents the total distance around the base of the cylinder. The other choices do not correspond to the circumference of a circle. For instance, the formula involving πd would require knowing the diameter, and the formulas involving h do not pertain to the circumference at all. Therefore, the choice that directly defines the circumference in terms of the radius is the appropriate one.