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

.(1 point)
Responses

10.22 meters
10.22 meters

10.21 meters
10.21 meters

33.18 meters
33.18 meters

10.2 meters

1 answer

To calculate 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 \(d\) is 3.25 meters and using \(\pi \approx 3.14\):

\[ C = 3.14 \times 3.25 \]

Calculating that:

\[ C = 10.2275 \text{ meters} \]

Rounding to the hundredths place, the circumference is:

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

However, since this option is not listed, we can examine the closest value among the provided responses:

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

The circumference \(10.23 \text{ meters}\) is closest to \(10.22 \text{ meters}\).

So, the correct choice is:

10.22 meters.