
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
Juan measures both the diameter of a circle and the side length of a square. The actual diameter of the circle is 30 cm, and the side length of the square is 30 cm as well, but Juan's measurement tool has an error of up to $30\%$. What is the largest possible percent error in Juan's computed area of the circle and the square?

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