You use scale factor of 34

to create a dilated circle with a radius of 9 inches. What is the radius of the original circle?(1 point)

1 answer

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).