
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 cylindrical drum has a circumference of 20 inches at its base and a height of 9 inches. A helical stripe is painted on the drum such that it makes exactly one complete turn around the cylinder from the bottom to the top, ending directly above its starting point. Determine the length of the stripe.

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