
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A circular park is to be redesigned so that the new diameter is three times the old diameter. What is the ratio of the original area to the redesigned area? Express your answer as a common fraction.

Present the answer in LaTex format: \boxed{Your answer}
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