Estimate Values of Expressions with Pi Practice

Question

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Question
What is the circumference of a circle with a diameter of 5.75 miles? Estimate the circumference to the hundredths place using 3.14 for π

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 of the circle.

Given that the diameter \( d = 5.75 \) miles and using \( \pi \approx 3.14 \), we can substitute these values into the formula:

\[ C \approx 3.14 \times 5.75 \]

Now, let's do the multiplication:

\[ C \approx 3.14 \times 5.75 \approx 18.095 \]

Rounding to the hundredths place, the circumference is approximately:

\[ C \approx 18.10 \text{ miles} \]

So, the estimated circumference of the circle is 18.10 miles.