
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 repair crew needs to reach the center $C$ of a circular fountain. They place a 20-foot plank from $A$ to $B$ and then a 12-foot plank from $D$ to $C$, where $D$ is the midpoint of $\overline{AB}$. Calculate the area of the circular base of the fountain. Express your answer in terms of $\pi$.

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