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

Answer 1

The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter.

For circle X, the diameter is 15 centimeters, so the circumference is Cx = π(15) = 15π centimeters.

For circle Y, the diameter is 20 centimeters, so the circumference is Cy = π(20) = 20π centimeters.

The difference between the circumferences is Cx - Cy = 15π - 20π = -5π centimeters.

Since π is approximately 3.14, the difference in centimeters is closest to -5 * 3.14 = -15.7 centimeters.

Therefore, the measurement closest to the difference between the circumferences of the two circles is 15.7 centimeters.