
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
Overlapping Circles. A circle with a radius of 15 intersects with a circle with a radius of 20 at a right angle. Consider the two regions that result from removing their common part from each respective circle. What is the difference in the areas of these regions?

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