Question

If the circumference of circle X is 12π and the circumference of circle Z is 6π , then what is the scale factor from X to Z ?(1 point)
Responses

1:3
ratio of 1 to 3

2:1
ratio of 2 to 1

3:1
ratio of 3 to 1

1:2
ratio of 1 to 2

Answer 1

To find the scale factor from circle X to circle Z based on their circumferences, we can use the following relationship:

The scale factor is the ratio of the circumference of circle X to the circumference of circle Z.

The circumference of circle X is \(12\pi\) and the circumference of circle Z is \(6\pi\).

Now, we can calculate the scale factor:

\[
\text{Scale Factor} = \frac{\text{Circumference of X}}{\text{Circumference of Z}} = \frac{12\pi}{6\pi} = \frac{12}{6} = 2
\]

This means that the scale factor from circle X to circle Z is \(2:1\).

The correct response is **2:1 (ratio of 2 to 1)**.