
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 circles with radii 3 and 5 are externally tangent to each other and are circumscribed by a third circle. Calculate the area of the shaded region that excludes the areas of the smaller circles but is included inside the larger circle. Assume all circles are perfectly circular.

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