To find the scale factor between two circles based on their diameters, you can divide the diameter of the final circle by the diameter of the original circle.
Given:
- Diameter of the original circle = 12 cm
- Diameter of the final circle = 5.4 cm
The scale factor is calculated as follows:
\[ \text{Scale Factor} = \frac{\text{Diameter of Final Circle}}{\text{Diameter of Original Circle}} = \frac{5.4 , \text{cm}}{12 , \text{cm}} \]
Calculating this:
\[ \text{Scale Factor} = \frac{5.4}{12} = 0.45 \]
So, the scale factor is 0.45.