
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 polar coordinate system, the polar coordinate equation of the line $l$ is $ρ\cos \left( θ+ \dfrac{π}{3} \right)=1$. Establish a plane rectangular coordinate system with the pole $O$ as the origin and the positive semi-axis of the polar axis as the $x$-axis. The parametric equation of the circle $C$ is $\begin{cases} x=r\cos θ, \\ y=r\sin θ \end{cases}(θ \text{ is the parameter})$. If the line $l$ is tangent to the circle $C$, find the value of $r$.

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