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

136.31 meters
136.31 meters

1,343.92 meters
1,343.92 meters

68.15 meters
68.15 meters

2,687.84 meters

1 answer

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

\[ C = 2\pi r \]

Where \(C\) is the circumference and \(r\) is the radius. Given that the circumference \(C\) is 428 meters and using \(\pi \approx 3.14\), we can rearrange the formula to solve for the radius \(r\):

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

Substituting the values:

\[ r = \frac{428}{2 \times 3.14} \] \[ r = \frac{428}{6.28} \] \[ r \approx 68.15 \text{ meters} \]

So, the radius of the circle, rounded to the nearest hundredths place, is approximately 68.15 meters.