
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
When a disk with a radius of 8 cm rolls counter-clockwise around a circular clock face with a radius of 24 cm, at what point on the clock face will the disk be tangent when its arrow is next pointing in the upward vertical direction?

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