To find the radius of the original circle when you have a dilated circle, you can use the scale factor.
The formula for the radius of the original circle can be calculated by dividing the radius of the dilated circle by the scale factor.
Given:
- Scale factor = 34
- Radius of dilated circle = 9 inches
So, the radius of the original circle is:
\[ \text{Radius of original circle} = \frac{\text{Radius of dilated circle}}{\text{Scale factor}} = \frac{9 \text{ inches}}{34} \]
Calculating this gives:
\[ \text{Radius of original circle} \approx 0.2647 \text{ inches} \]
So, the radius of the original circle is approximately 0.26 inches when rounded to two decimal places.