
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 strip of paper $4$ cm wide is wrapped around a cardboard tube of initial diameter $4$ cm to form a roll for receipt paper. The wrapping is continued until there are $500$ layers of paper, resulting in a final diameter of $16$ cm. Estimate the length of the paper in meters, pretending that each layer forms a concentric circle increasing evenly from $4$ cm to $16$ cm in diameter.
**A)** $40\pi$ meters
**B)** $45\pi$ meters
**C)** $50\pi$ meters
**D)** $55\pi$ meters
**E)** $60\pi$ meters

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