
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 circle has its center at a point $P$ and passes through a point $Q$. The coordinates of $P$ are $(-5, 3)$, and the coordinates of $Q$ are $(7, -4)$. If the circle is uniformly scaled by a factor of 2 from its center $P$, what is the area of the resulting circle? Express your answer in terms of $\pi$.

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