Final answer:
The difference between the circumference of circle x and the circumference of circle y is approximately 5π centimeters.
Step-by-step explanation:
The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter.
Given that the diameter of circle x is 15 centimeters and the diameter of circle y is 20 centimeters, we can calculate the circumferences of both circles.
For circle x, the circumference is Cx = π * 15 = 15π cm, and for circle y, the circumference is Cy = π * 20 = 20π cm.
To find the difference between the two circumferences, we subtract the smaller circumference from the larger circumference. In this case, 20π - 15π = 5π cm.
Therefore, the measurement closest to the difference between the circumference of circle x and the circumference of circle y is approximately 5π centimeters.