Is it possible to join multiple Neodymium magnet arcs (shown blow), which are radially magnetized, to create a cylindrical ring unity that is also radially magnetized?
If it is not possible, how to create such cylindrical ring?
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I don't know that you could produce such a ring by putting individual neodymium magnets next to each other — the inside/south of one would repel the inside/south of its neighbor, and so they'd want to jump around until they were at different radius and the south and north parts could overlap.
However you can certainly produce a ring of radially outward-pointing field: it's called a quadrupole and you can make it by taking a Helmholtz coil pair and reversing the current direction in one coil. If you had a torus of unmagnetized material, you make a permanent-magnet quadrupole by building a coil pair parallel to the rings of your torus and running it in the reversed configuration to magnetize your sample.
If you really want to assemble a ring of neodymium magnets, you'll need to build a frame to put them in that will keep them from jumping around. The frame will have to be made of something sturdy but nonmagnetic, like aluminum, and you'll have to be able to clamp the magnets in as you add them one at a time. My experience suggests that your first frame or two won't work, and that you'll lose some magnets to breakage when they jump out of the frame, so keep that in mind as you're budgeting.
rob
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You need to look up Halbach Arrays A Halbach array is a special arrangement of permanent magnets that augments the magnetic field on one side of the array while cancelling the field to near zero on the other side. You may be able to do something similar, depending upon application.