
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
An 18-inch pizza can perfectly accommodate eight equal circles of pepperoni across its diameter, and thirty-six circles of pepperoni are placed on this pizza without overlapping. Calculate the fraction of the pizza's surface that is covered by pepperoni.

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