
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 Cartesian coordinate system, the parametric equation of circle C is 
$$
\begin{cases}
x = 2\cos\theta \\
y = 2+2\sin\theta
\end{cases}
$$
($\theta$ is the parameter). Find the distance from the origin to the center of the circle C.

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