
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 triangle $PQR$, $P', Q',$ and $R'$ are points where the perpendicular bisectors of the sides $PQ$, $QR$, and $RP$ respectively, intersect the triangle’s circumcircle. If the perimeter of triangle $PQR$ is 42, and the radius of the circumcircle is 9, find the area of hexagon $PR'QP'RQ'$.

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