
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
Given a circle $C$ parameterized by $$C： \begin{cases} x=2+2\cosθ \\ y=2\sinθ\end{cases}(θ\text{ is the parameter}),$$ and a line $l$ parameterized by $$l： \begin{cases} x=2+ \frac {4}{5}t \\ y= \frac {3}{5}t\end{cases}(t\text{ is the parameter}),$$
(I) Find the standard equation of circle $C$. If a polar coordinate system is established with the origin as the pole and the positive x-axis as the polar axis, provide the polar equation of circle $C$.
(II) Determine the positional relationship between line $l$ and circle $C$ and explain the reasoning; if they intersect, find the length of the chord.

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