
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 has its diameter increased by a factor of 3. Simultaneously, the circumference is noted to be thrice its original length as well. What is the ratio of the original area to the enlarged area, and by what factor does the circumference increase?

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