
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
Spot's doghouse has a regular hexagonal base that measures 2 yards on each side. He is tethered to a vertex with a three-yard rope. What is the area, in square yards, of the region outside the doghouse that Spot can reach? Express your answer in terms of \(\pi\).

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