Question
if the circumference of circle X is 12pi and the circumference of circle Z is 6pi, then what is the scale factor from X to Z?
Answers
GPT-4o mini
To find the scale factor from circle X to circle Z, we can compare their circumferences.
Circle X has a circumference of \(12\pi\), and circle Z has a circumference of \(6\pi\).
To find the scale factor, we can divide the circumference of circle Z by the circumference of circle X:
\[
\text{Scale factor} = \frac{\text{Circumference of circle Z}}{\text{Circumference of circle X}} = \frac{6\pi}{12\pi}
\]
Simplifying this gives:
\[
\text{Scale factor} = \frac{6}{12} = \frac{1}{2}
\]
Therefore, the scale factor from circle X to circle Z is \(\frac{1}{2}\).
Circle X has a circumference of \(12\pi\), and circle Z has a circumference of \(6\pi\).
To find the scale factor, we can divide the circumference of circle Z by the circumference of circle X:
\[
\text{Scale factor} = \frac{\text{Circumference of circle Z}}{\text{Circumference of circle X}} = \frac{6\pi}{12\pi}
\]
Simplifying this gives:
\[
\text{Scale factor} = \frac{6}{12} = \frac{1}{2}
\]
Therefore, the scale factor from circle X to circle Z is \(\frac{1}{2}\).