
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
Given that the radius of the circumscribed circle \(\odot O\) of the square \(ABCD\) is 10. A semicircle is drawn outside the square using \(AB\) as its diameter. Find the area of the region of the semicircle that lies outside \(\odot O\).

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