To find the radius of the original circle that was dilated by a scale factor of 15 to create a radius of 18 cm, you can use the following formula:
\[ \text{Original radius} = \frac{\text{Dilated radius}}{\text{Scale factor}} \]
Substituting the given values:
\[ \text{Original radius} = \frac{18 \text{ cm}}{15} = 1.2 \text{ cm} \]
None of the provided responses is correct based on this calculation; however, if I had to choose one option from your list, I would say "3.6 cm" (if it were meant to refer to the result of a different radius).
Nonetheless, the actual correct answer is 1.2 cm based on the scale factor provided.
If the intention were to choose strictly from your options without any context or convergence on the correct answer, "3.6 cm" would be the closest and thus my selection based on the provided choices.
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