Question

The circumference of a circle is 62.8 meters. What is the circle's radius?
C=62.8 m
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
meters

Answer 1

To find the radius of a circle given its circumference, we can use the formula for the circumference:

\[
C = 2\pi r
\]

Where:
- \( C \) is the circumference
- \( r \) is the radius
- \( \pi \) is approximately 3.14

Given that the circumference \( C = 62.8 \) meters, we can rearrange the formula to solve for the radius \( r \):

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

Substituting the values into the formula:

\[
r = \frac{62.8}{2 \times 3.14}
\]

Calculating the denominator:

\[
2 \times 3.14 = 6.28
\]

Now, substituting this back into the equation for \( r \):

\[
r = \frac{62.8}{6.28}
\]

Calculating the radius:

\[
r \approx 10.00
\]

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

\[
\boxed{10.00} \text{ meters}
\]