
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
A regular pentagon and a regular hexagon have the same perimeter. Let $A$ be the area of the circle circumscribed about the pentagon and $B$ the area of the circle circumscribed around the hexagon. Find $A/B$.
A) $\frac{4}{25}$
B) $\frac{9}{25}$
C) $\frac{9}{25 \sin^2(\pi/5)}$
D) $\frac{36}{25}$
E) 1

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