
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 the polar coordinate equation of line $l$ as $ρ\sin (θ- \frac {π}{3})=6$, and the parametric equation of circle $C$ as $ \begin{cases} x=10\cos θ \\ y=10\sin θ \end{cases} $.
(1) Convert the equation of line $l$ into rectangular coordinates;
(2) Convert the equation of circle $C$ into a standard form;
(3) Calculate the length of the chord intercepted by line $l$ on circle $C$.

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