The difference between the circumference of circle X and circumference of circle Y is 5π cm.
This is the distance round a circle.
The circumference of circle X is calculated as follows;
[tex]C_X = \pi d\\\\ C_X = 15\pi \ cm[/tex]
The circumference of circle Y is calculated as follows;
[tex]C_Y = \pi d\\\\ C_Y = 20 \pi \ cm[/tex]
The difference between the circumference of circle X and circumference of circle Y is calculated as follows;
[tex]C_Y - C_X = 20\pi - 15 \pi = 5\pi \ cm \\\\ [/tex]
Thus, the difference between the circumference of circle X and circumference of circle Y is 5π cm.
Learn more about circumference of a circle here: https://brainly.com/question/9782777
Using the formula for the circumference, it is found that the difference between the circumference of circle X and the circumference of circle Y is of 31.4 centimeters.
[tex]C = 2\pi r[/tex]
The diameter of circle X is 15 centimeters, hence [tex]r = 15[/tex] and:
[tex]C_X = 2\pi(15) = 30\pi[/tex]
The diameter of circle Y is 20 centimeters, hence [tex]r = 20[/tex] and:
[tex]C_Y = 2\pi(20) = 40\pi[/tex]
Then, the difference, in centimeters, is of:
[tex]d = C_X - C_Y = 40\pi - 30\pi = 10\pi = 31.4[/tex]
You can learn more about circles at https://brainly.com/question/17326298
