
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 circular dartboard has a radius of 10 cm. The board is divided into two scoring zones: WIN and LOSE. The probability of scoring in the WIN zone when throwing a dart is $\frac{1}{4}$. Calculate the area, in square cm, of the WIN scoring zone, assuming the LOSE zone occupies the remainder of the circle. Express your answer in terms of $\pi$.

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