Question

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 circle Y in centimeters?

Answer 1

The difference between the circumference of circle X and circumference of circle Y is 5π cm.

What is circumference of a circle?

This is the distance round a circle.

The circumference of circle X is calculated as follows;

$C_X = \pi d\\\\ C_X = 15\pi \ cm$

The circumference of circle Y is calculated as follows;

$C_Y = \pi d\\\\ C_Y = 20 \pi \ cm$

The difference between the circumference of circle X and circumference of circle Y is calculated as follows;

$C_Y - C_X = 20\pi - 15 \pi = 5\pi \ cm$

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: brainly.com/question/9782777

Answer 2

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.

What is the measure of the circumference of a circle?

• The circumference of a circle of radius r is given by:

$C = 2\pi r$

The diameter of circle X is 15 centimeters, hence $r = 15$ and:

$C_X = 2\pi(15) = 30\pi$

The diameter of circle Y is 20 centimeters, hence $r = 20$ and:

$C_Y = 2\pi(20) = 40\pi$

Then, the difference, in centimeters, is of:

$d = C_X - C_Y = 40\pi - 30\pi = 10\pi = 31.4$

You can learn more about circles at brainly.com/question/17326298