
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 diagram shows a square with sides of length \(a\). The shaded part of the square is bounded by a semicircle and two quarter-circle arcs. What is the shaded area?

A) \(\frac{\pi a^2}{8}\)

B) \(\frac{a^2}{2}\)

C) \(\frac{\pi a^2}{2}\)

D) \(\frac{a^2}{4}\)

E) \(\frac{\pi a^2}{4}\)

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