You use scale factor of 34

Question

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

Answer 1

To find the radius of the original circle when given a scale factor and the radius of the dilated circle, you can use the following formula:

\[ \text{Radius of Original Circle} = \frac{\text{Radius of Dilated Circle}}{\text{Scale Factor}} \]

In this case, the radius of the dilated circle is 9 inches and the scale factor is 34.

Now, plug in the values:

\[ \text{Radius of Original Circle} = \frac{9 \text{ inches}}{34} \]

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 (to two decimal places).