
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
In the ancient Chinese mathematical treatise "Nine Chapters on the Mathematical Art," it is recorded: "There is a field in the shape of a sector, with a circumference of 30 steps and a diameter of 16 steps. What is the area of the field?" Note: "宛田" refers to a field in the shape of a sector, "下周" refers to the circumference, and "径" refers to the diameter of the circle in which the sector lies. So, the area of this sector field is ______ square steps.

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