Question

If the circumference of a circle is 428 meters, what is its radius, rounded to the nearest hundredths place? Use 3.14 for π
.(1 point)
Responses

68.15 meters
68.15 meters

2,687.84 meters
2,687.84 meters

1,343.92 meters
1,343.92 meters

136.31 meters

Answer 1

To find the radius of a circle when the circumference is given, you 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 \(C\) is 428 meters, we can rearrange the formula to solve for the radius \(r\):

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

Substituting the values:

\[
r = \frac{428}{2 \times 3.14}
\]

Calculating the denominator:

\[
2 \times 3.14 = 6.28
\]

Now substitute back into the formula:

\[
r = \frac{428}{6.28} \approx 68.15
\]

Thus, the radius of the circle, rounded to the nearest hundredths place, is:

\[
\boxed{68.15 \text{ meters}}
\]