
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
What is the area of the gray region, in square units, if the radius of the larger circle is five times the radius of the smaller circle and the diameter of the smaller circle is 4 units? Express your answer in terms of $\pi$.

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