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

1,343.92 meters
1,343.92 meters

2,687.84 meters
2,687.84 meters

136.31 meters

Answer 1

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

\[
C = 2\pi r
\]

where \( C \) is the circumference and \( r \) is the radius. Rearranging this formula to solve for the radius gives us:

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

Given that the circumference \( C \) is 428 meters and using \( \pi \approx 3.14 \), we can substitute these values into the formula:

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

Calculating the denominator:

\[
2 \times 3.14 = 6.28
\]

Now, substituting back into the radius formula:

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

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

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