
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
Chuck the llama is tied to the corner of a $3\text{ m}$ by $4\text{ m}$ shed on a $4\text{ m}$ leash. The leash allows Chuck to move around the outside of the shed. Additionally, there is a tree $1.5\text{ m}$ directly south from the point where Chuck is tied and within the radius of his leash. How much area (in square meters) does Chuck have in which to play, considering the shed and the tree as obstacles?

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