Lines on circles

I just drew 2 circles with one being inside of the other. I am trying to draw small lines that connect between the two circles but it keeps connecting to the center. Does anyone know how to get it to snap to the circles instead of the center?

deactivate center snaps, to connect to the curve have near snaps activated.

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On the other hand, if you actually want the lines to be radial, just go ahead and draw them all to the center and then trim them with the inner circle.

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