
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 circle with a radius \( R \) is surrounded by four equal circles, each touching the given circle such that every two adjacent of these four circles also touch each other. Calculate the area of one of these surrounding circles.

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