
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 is inscribed in a square and passes through the midpoint of one of the diagonals of the square. The radius of the circle is $r$. Calculate the area of the square in terms of $r$.
A) $r^2$
B) $\sqrt{2}r^2$
C) $2r^2$
D) $4r^2$

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