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The circumference of a circle is calculated using the formula C = πd, where d is the diameter of the circle.
For circle X:
Circumference of circle X = π * 15 = 47.12 cm
For circle Y:
Circumference of circle Y = π * 20 = 62.83 cm
The difference between the circumference of circle X and circle Y is:
62.83 cm - 47.12 cm = 15.71 cm
Therefore, 15.71 centimeters is closest to the difference between the circumference of circle X and circle Y.