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Atomic radius and ionic radius are both the measure of the center of the nucleus and the outermost shell. In a neutral atom, both the atomic and ionic radius would be the same. The ionic radius is bigger in a anion and smaller in a cation compared to their parent atom.
The periodic trends of atomic radius follow for both ionic and covalent radii also. The bonding types might be different, but the ionization energy will still be greater for an atom further across a period and smaller for an atom lower in a group.