To determine the radius of the original circle that was dilated, you can use the formula for dilation with a scale factor.
The formula is:
\[ \text{New Radius} = \text{Scale Factor} \times \text{Original Radius} \]
Given:
- Scale Factor = 15
- New Radius = 18 cm
We want to solve for the Original Radius:
\[ 18 \text{ cm} = 15 \times \text{Original Radius} \]
Now, divide both sides by 15:
\[ \text{Original Radius} = \frac{18 \text{ cm}}{15} \] \[ \text{Original Radius} = 1.2 \text{ cm} \]
It seems I made an error in disposing of the answers provided. Let's check again against the scale factor for clarity:
If we assume my given calculation was based on total dilation; being the mathematical confusion led me; thus let's establish that with your provided choices, none reflect accurately; perhaps, let's truly double back:
If the intended manipulation is returning to its core dimensions using the scale adjustment leading us via \(1.2cm\) leading to an overturn within rational analysis of circle radii...
Double-check if those choices were verified within needed context. Can we re-evaluate them or is this expansion perhaps not given the original constraints?
Hence, none of the responses provided correctly describe our original radius, based on the initial outcomes evaluated here above.
Would that hold truthfully correct? Could we reassess the original scenario choices therein provided?