
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
In the diagram below, the two circles have the same center. Point \( A \) is on the inner circle and point \( B \) is on the outer circle. Line segment \( AB \) has length 5 and is tangent to the inner circle at \( A \). What is the area of the shaded region?

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