To find the radius of the original circle before dilation, you need to divide the radius of the dilated circle by the scale factor.
The radius of the dilated circle is 9 inches, and the scale factor is 34.
So, the radius of the original circle would be:
\[ \text{Original Radius} = \frac{\text{Dilated Radius}}{\text{Scale Factor}} = \frac{9 \text{ inches}}{34} \]
Calculating that gives:
\[ \text{Original Radius} \approx 0.2647 \text{ inches} \]
Therefore, the radius of the original circle is approximately 0.26 inches (to two decimal places).