
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
Two concentric circles form a circular track. The width of the track changes linearly from 10 feet to 15 feet as you go from one point to the opposite point across the inner circle. The diameter of the inner circle is 30 feet. Calculate the average difference in the circumferences of the two circles.
A) \( 20\pi \text{ feet} \)
B) \( 25\pi \text{ feet} \)
C) \( 30\pi \text{ feet} \)
D) \( 35\pi \text{ feet} \)

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