
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
Several circles are inscribed in an angle, with their radii increasing. Each subsequent circle touches the previous circle. Find the sum of the circumferences of the second and third circles if the radius of the first circle is 1, and the area of the circle bounded by the fourth circle is $64\pi$.

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