
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 rectangle is inscribed in a circle. A smaller rectangle has one side coinciding with a side of the larger rectangle and has two vertices on the circle, as shown. What percent of the area of the larger rectangle is the area of the smaller rectangle?

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