
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 50-foot by 20-foot rectangular garden is enclosed by a fence. To redesign the plot using the same amount of fencing but into a circular shape, what is the increase in area between the old rectangular garden and the new circular garden?

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