What is the area of a circle with a diameter of 240 mm?

To find the area of a circle, you can use the formula:

Area = πr²

where r is the radius of the circle. Since the diameter is given as 240 mm, you first need to convert this to the radius:

Radius (r) = Diameter / 2 = 240 mm / 2 = 120 mm

Next, you can proceed to calculate the area using the formula. However, it's important to maintain consistent units. The area must ultimately be presented in square centimeters, so you should convert millimeters to centimeters at this stage:

1 cm = 10 mm, thus 120 mm = 12 cm.

Now, substituting the radius into the area formula:

Area = π(12 cm)²

Area = π(144 cm²)

Using the approximation for π (approximately 3.14):

Area ≈ 3.14 × 144 cm²

Area ≈ 452.16 cm²

Therefore, the area of the circle with a diameter of 240 mm is 452.16 cm², which matches the answer choice. This option correctly reflects the dimensions and calculations required for determining the area of a circle based on the provided diameter.