
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 large circle surrounds a smaller circle such that the diameter of the smaller circle is 6 units. The radius of the larger circle is three times that of the smaller one. The smaller circle is off-center, touching the larger circle from inside at one point. What is the area of the gray region, in square units, outside the smaller circle but inside the larger circle? Express your answer in terms of $\pi$.

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