Final answer:
The circumference of a circle with a 6-kilometer radius is approximately 37.68 kilometers when rounded to the nearest hundredth, using the approximation π ≈ 3.14.
Step-by-step explanation:
The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference and r is the radius. Given that the radius of the circle is 6 kilometers, we can substitute this value into the formula as follows:
C = 2π(6 km) = 12π km
Using the approximation π ≈ 3.14, we can calculate the circumference:
C ≈ 12 * 3.14 km ≈ 37.68 km
Rounding this result to the nearest hundredth, the circumference of the circle is approximately 37.68 kilometers.