
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 parametric equation of curve $C$ as $\begin{cases} x=1+ \sqrt {5}\cos \alpha \\ y=2+ \sqrt {5}\sin \alpha\end{cases}(\alpha$ is the parameter), with the origin $O$ of the Cartesian coordinate system as the pole and the positive half-axis of $x$ as the polar axis, a polar coordinate system is established.  
(Ⅰ) Find the polar equation of curve $C$;  
(Ⅱ) Let $l_{1}: \theta= \frac {\pi}{6}, l_{2}: \theta= \frac {\pi}{3}$. If $l_{1}$ and $l_{2}$ intersect curve $C$ at two points $A$ and $B$ different from the origin, find the area of $\triangle AOB$.

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