Final answer:
The radius of a circle with a circumference of 16π is found using the formula C = 2πr. Divide the circumference by 2π to find that the radius of the circle is 8 units.
Step-by-step explanation:
The question is addressing the relationship between the circumference of a circle and its radius. According to the formula for the circumference of a circle, C = 2πr (where C is the circumference, π is approximately 3.14159, and r is the radius), we can solve for the radius r when given the circumference. In this case, the circumference is 16π. By setting up the equation 16π = 2πr, we can divide both sides by 2π to isolate r. This gives us r = 16π / 2π = 8. Therefore, the radius of the circle is 8 units.