Question

What is the circumference of a circle with a diameter of 3.25 meters? Estimate the circumference to the hundredths place using 3.14 for π
π
.(1 point)
Responses

33.18 meters
33.18 meters

10.21 meters
10.21 meters

10.22 meters
10.22 meters

10.2 meters

1 answer

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

\[ C = \pi \times d \]

where \(C\) is the circumference and \(d\) is the diameter. Given that the diameter is 3.25 meters, we can substitute this value into the formula using \( \pi \approx 3.14 \):

\[ C = 3.14 \times 3.25 \]

Now, performing the multiplication:

\[ C = 3.14 \times 3.25 = 10.225 \]

Rounding this to the hundredths place, we get:

\[ C \approx 10.23 \text{ meters} \]

However, this precise value is not among the provided options. Let's check the closest one based on standard rounding rules:

  • If we round 10.225 to the nearest hundredths place, it becomes 10.23.

The provided options are:

  • 33.18 meters
  • 10.21 meters
  • 10.22 meters
  • 10.2 meters

The closest and more rounded option based on the available choices is 10.22 meters.

Thus, the answer is:

10.22 meters.