
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
On a circle of radius $r$, points $A, B,$ and $C$ are situated such that $AB = BC$, $AB > r$, and the length of minor arc $BC$ is $\frac{\pi r}{2}$. If angles are measured in radians, then $\frac{AB}{BC} = ?$
A) $\frac{1}{2}$
B) $1$
C) $\sqrt{2}$
D) $2$

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