To find the radius of a circle given 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.
Given that the circumference \( C \) is 428 meters and using \( \pi \approx 3.14 \), we can rearrange the formula to solve for the radius \( r \):
\[ r = \frac{C}{2\pi} \]
Now substituting in the values:
\[ r = \frac{428}{2 \times 3.14} \]
Calculating the denominator:
\[ 2 \times 3.14 = 6.28 \]
Now, divide 428 by 6.28:
\[ r = \frac{428}{6.28} \approx 68.15 , \text{meters} \]
Rounding to the nearest hundredths place, the radius of the circle is approximately:
68.15 meters.