To find the scale factor between the two circles, you can divide the diameter of the final circle by the diameter of the original circle.
Here are the steps:
- Original circle diameter: 15 cm
- Final circle diameter: 12.75 cm
Now, calculate the scale factor:
\[ \text{Scale Factor} = \frac{\text{Final Circle Diameter}}{\text{Original Circle Diameter}} = \frac{12.75 \text{ cm}}{15 \text{ cm}} \]
\[ \text{Scale Factor} = \frac{12.75}{15} = 0.85 \]
Therefore, the scale factor is 0.85.