
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 $\triangle ABC$, the sides opposite to angles A, B, and C are a, b, and c, respectively. Given the equation $$2 \sqrt {3} \sin^{2} \frac {A}{2} + \sin A - \sqrt {3} = 0$$.
(I) Find the measure of angle A.
(II) If the area of $\triangle ABC$ is $\sqrt {3}$, and the radius of the circumcircle $R = \sqrt {3}$, find the perimeter of $\triangle ABC$.

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