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)

Question

Responses

2:1
ratio of 2 to 1

1:3
ratio of 1 to 3

1:2
ratio of 1 to 2

3:1
ratio of 3 to 1

Answer 1

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

1. Circumference of Circle X: \( C_X = 12\pi \)
2. Circumference of Circle Z: \( C_Z = 6\pi \)

The scale factor (SF) between the two circles can be calculated by dividing the circumference of circle X by the circumference of circle Z:

\[ \text{Scale Factor} = \frac{C_X}{C_Z} = \frac{12\pi}{6\pi} = \frac{12}{6} = 2 \]

This means that for every unit of measurement in circle Z, circle X is 2 units.

Therefore, the scale factor from circle X to circle Z is 2:1.

The correct response is: *2:1 ratio of 2 to 1