
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 enlarged so that the new diameter is three times the original diameter. What is the ratio of the new area to the original area and the new circumference to the original circumference? Express your answers as common fractions.

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