
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 have radii of 63 and 73 meters, respectively, and the distance between their centers is 63 meters. What is the area of their overlapping region? What fraction of each circle's area does this overlap represent?

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