
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
Two concentric circles have a common center \( C \). The larger circle has a radius of \( 12 \) units, and the smaller circle has a radius of \( 7 \) units. An external square tightly encloses the larger circle. Determine the area of the region between the two circles and outside the smaller circle but within the square.

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