
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 rectangular coordinate system $xoy$, the parametric equations of the line $l$ passing through the point $P(2,0)$ are given by $ \begin{cases} x=2- \sqrt {3}t \\ y=t \end{cases}(t \text{ is the parameter}) $. The equation of the circle $C$ is $x^{2}+y^{2}=4$. Establish a polar coordinate system with the coordinate origin $O$ as the pole and the non-negative semi-axis of the $x$-axis as the polar axis.
(1) Find the standard equation of line $l$ and the polar equation of circle $C$.
(2) Calculate the distance between the center of circle $C$ and line $l$.

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