
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
The perimeter of a logo is created from two vertical straight edges, two small semicircles with horizontal diameters, and two large semicircles. Both of the straight edges and the diameters of the small semicircles have a length of 2. The logo has rotational symmetry. What is the shaded area?
A) 4
B) \( 4 - \pi \)
C) 8
D) \( 4 + \pi \)
E) 12

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