The diameter of circle X is 15 centimeters. The diameter is 20 centimeters. Which measurement is the closest to the difference between the circumference of circle X and the circumference of circle Y in centimeters?

15.7
7.85
137
31.4

31.4

To find the circumference of a circle, you use the formula C = πd, where d is the diameter.

For circle X: Cx = π(15) ≈ 47.12 cm
For circle Y: Cy = π(20) ≈ 62.83 cm

The closest measurement to the difference between the circumference of circle X and circle Y is 62.83 - 47.12 ≈ 15.71, which is closest to 15.7 cm.