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

1:2
ratio of 1 to 2

3:1
ratio of 3 to 1

1:3
ratio of 1 to 3

2:1

Answer 1

To find the scale factor from circle X to circle Z based on their circumferences, we can calculate the ratio of the circumferences of the two circles.

Given:
- Circumference of circle X = \( 12\pi \)
- Circumference of circle Z = \( 6\pi \)

The scale factor from circle X to circle Z can be calculated as:

\[
\text{Scale factor} = \frac{\text{Circumference of circle Z}}{\text{Circumference of circle X}} = \frac{6\pi}{12\pi} = \frac{6}{12} = \frac{1}{2}
\]

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

So the answer is:

**1:2** (ratio of 1 to 2)