Question

The circumference of a circle is 12.56 miles. What is the circle's radius?
C=12.56 mi
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

To find the radius of a circle given its circumference (C), you can use the formula for circumference:

\[
C = 2\pi r
\]

Where \( r \) is the radius and \( \pi \) is approximately 3.14. We can rearrange the formula to solve for the radius:

\[
r = \frac{C}{2\pi}
\]

Substituting the given values:

\[
r = \frac{12.56}{2 \times 3.14}
\]

Calculating the denominator:

\[
2 \times 3.14 = 6.28
\]

Now, we can find the radius:

\[
r = \frac{12.56}{6.28} \approx 2.00
\]

So, the radius of the circle, rounded to the nearest hundredth, is:

\[
\boxed{2.00 \text{ miles}}
\]