Continuity Equation: Is It Independent of Pipe Radius?

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Gear2d
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For the continuity equation (Q= Av, A is cross sectional area, v is velocity), is it independent of the radius of the pipe? If so, why?
 
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Gear2d said:
For the continuity equation (Q= Av, A is cross sectional area, v is velocity), is it independent of the radius of the pipe? If so, why?

The cross-sectional area is dependent on the radius.

The velocity must increase as the radius decreases to allow the same volume of fluid to pass through over a given time.