
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 dart board is a circular disc with a radius of 10 units and contains a central square target. The square has its vertices on the circle. Calculate the probability that a dart thrown randomly and landing anywhere on the board will land within the center square.
- **A)** $\frac{1}{\pi}$
- **B)** $\frac{2}{\pi}$
- **C)** $\frac{1}{2}$
- **D)** $\frac{3}{\pi}$
- **E)** $\frac{\pi}{4}$

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