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

1 answer

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:

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