
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 point is chosen at random from within a circular region with a radius of 5. What is the probability that the point is closer to the center of the region than it is to the boundary of the region, given an inner concentric circle has a radius of 2?

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