
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 xy-plane, what is the length of the shortest path from $(0,0)$ to $(20,25)$ that does not go inside the circle $(x-10)^{2}+(y-12.5)^{2}= 64$?
A) \( 27.732 + 2\pi \)
B) \( 27.732 + \frac{8\pi}{3} \)
C) \( 15.732 + \frac{7\pi}{3} \)
D) \( 30.732 + \frac{8\pi}{3} \)

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