
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
A square is inscribed in a circle. Another smaller square has one side coinciding with a side of the larger square and two vertices on the circle. What percent of the area of the larger square is the area of the smaller square when the side of the larger square is twice the radius of the circle?

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