
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
Luke now wants to fence a circular plot of land with an area of at least 500 square feet. What should be the radius of the circle if he wants to use the least amount of fencing?

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