Estimate Values of Expressions with Pi Quick Check

Question

2 of 52 of 5 Items
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
.(1 point)
Responses

33.18 meters
33.18 meters

10.2 meters
10.2 meters

10.21 meters
10.21 meters

10.22 meters

Answer 1

To estimate 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 \(d = 3.25\) meters and using \( \pi \approx 3.14\):

\[ C \approx 3.14 \times 3.25 \]

Now let's perform the multiplication:

\[ C \approx 3.14 \times 3.25 = 10.205 \]

Now, rounding this to the hundredths place gives:

\[ C \approx 10.21 \text{ meters} \]

Thus, the correct answer is:

10.21 meters