
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 man decides to secure his dog with a 10-foot leash to a circular pillar with a 2-foot radius. The pillar sits in the center of a spacious yard. How much area can the dog roam if it can move completely around the pillar?
A) $100\pi$ square feet
B) $128\pi$ square feet
C) $144\pi$ square feet
D) $160\pi$ square feet

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