
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
Consider a regular hexagon clock face where the boundaries of the sections of painting are determined by lines running from the center at every 60°, similar to hour markings on a clock. The hexagon is divided into six equal triangular regions like those between consecutive hour markers. If $s$ is the area of one triangular region, and $r$ is the area of one of the three rhomboidal regions created by connecting non-adjacent vertices through the center, find the ratio $\frac{r}{s}$.
A) $\sqrt{3}/3$  
B) $1$  
C) $\sqrt{3}$  
D) $2$

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