
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 team needs to access a point $E$ on the circumference of a circular pond. They place a 20-foot plank from point $A$ to point $B$ and then an 18-foot plank from $F$, where $F$ is midpoint of $\overline{AB}$, to point $E$ on the circumference. Determine the area of the circular pond in terms of $\pi$.

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