
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
The area of a sector of a circle is 100. For what radius of the circle will the perimeter of this sector be minimized? If the answer is not an integer, round to the nearest tenth.

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