
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 semicircle is drawn on each side of a square. The square has sides of length \(2 \pi\). What is the area of the resulting shape?

A) \(2 \pi^{2}(\pi+1)\)  
B) \(\pi^{2}(\pi+2)\)  
C) \(2 \pi^{2}(2 \pi+1)\)  
D) \(\pi^{2}(\pi+4)\)  
E) \(2 \pi^{2}(\pi+2)\)

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