
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 poles, one with a diameter of $8$ inches and another with a diameter of $20$ inches, are placed side by side and bound together with a wire. Calculate the length of the shortest wire that will fully encircle both poles.
A) $8\sqrt{10} + 16\pi$
B) $8\sqrt{10} + 15\pi$
C) $4\sqrt{10} + 16\pi$
D) $8\sqrt{10} + 15.85$
E) $16\sqrt{10} + 14\pi$

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