
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 the oblique coordinate system xOy, where $\angle xOy=60°$, the oblique coordinates of any point P on the plane with respect to the oblique coordinate system xOy are defined as: if $\overrightarrow{OP} = x\overrightarrow{e_{1}} + y\overrightarrow{e_{2}}$, where vectors $\overrightarrow{e_{1}}$ and $\overrightarrow{e_{2}}$ are the unit vectors in the same direction as the x and y axes, respectively, then the coordinates of point P are (x, y).  
(1) If the coordinates of point P are (3, -2), then $|\overrightarrow{OP}|$ = _______ ;  
(2) The equation of the circle with center O and radius 2 in the oblique coordinate system is _______ .

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