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?
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.
To find the difference between the circumferences of circle X and circle Y, we need to subtract the circumference of circle X from the circumference of circle Y.
The formula for the circumference of a circle is C = πd, where C is the circumference, π is a constant (approximately equal to 3.14), 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.
Now, to find the difference, we subtract the circumference of circle X from the circumference of circle Y:
Difference = Cy - Cx = (20π - 15π) centimeters = 5π centimeters.
Since π is approximately equal to 3.14, we can calculate the approximate value of the difference:
Difference ≈ 5(3.14) centimeters ≈ 15.7 centimeters.
Therefore, the measurement closest to the difference between the circumference of circle X and the circumference of circle Y is approximately 15.7 centimeters.