Question

If you use a scale factor of to create a circle with radius 18 cm, what is the radius of the original circle you dilated? (1 point)

180 cm

3.6 cm

9m

90 cm

Answer 1

The question seems to be incomplete because it mentions using a scale factor to create a circle but does not specify the scale factor. However, to find the radius of the original circle after applying a scale factor to get to a radius of 18 cm, you can use the formula:

\[
\text{Original Radius} = \frac{\text{New Radius}}{\text{Scale Factor}}
\]

Without the specific scale factor, we cannot determine the original radius. Nonetheless, let's hypothesize a few scenarios:

1. If the scale factor is **10**, the original radius would be:
\[
\frac{18 \text{ cm}}{10} = 1.8 \text{ cm}
\]

2. If the scale factor is **2**, the original radius would be:
\[
\frac{18 \text{ cm}}{2} = 9 \text{ cm}
\]

If we were to evaluate the possible answers given:
- 180 cm
- 3.6 cm
- 9 m (which is 900 cm)
- 90 cm

If the scale factor were actually **10**:
- The radius would be 1.8 cm, which is not in the options.

If the scale factor were **2**:
- The radius would be 9 cm, which is also not in the options.

If you provide the scale factor used in the dilatation, I can help determine the original radius more accurately based on the options provided.