
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 maintenance team needs to reach the center \( C \) of a circular pond for cleaning. They place a 20-foot plank from point \( A \) to point \( B \) across the pond and then a 12-foot plank from point \( D \) to \( C \), where \( D \) is the midpoint of \( \overline{AB} \). Determine the area of the circular pond. Express your answer in terms of \( \pi \).

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