
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
In the layout of a park, there is a central circular pond surrounded by a decorative rock area, outside of which is a walking path. The pond has a diameter of 12 feet. The rock area is 9 feet wide uniformly, and the walking path remains 6 feet wide as before. What is the diameter, in feet, of the circle that forms the outer boundary of the walking path?

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