
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
Consider two circles with radii 5 and 4, respectively, which are externally tangent to each other. A third circle circumscribes both and all three circles touch internally. Determine the area of the region not covered by the smaller circles but contained within the larger circle.

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