
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
The parametric equation of a circle is $\begin{cases} & x=3\sin \theta +4\cos \theta \\ & y=4\sin \theta -3\cos \theta \end{cases}$ ($\theta$ is the parameter), then the radius of this circle is ______.

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