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Im not quite sure if we will be asked to calculate the atomic radius ever but I think its worth knowing how to get a generalization with a periodic trend. In general, the size of an atom will decrease when you go from left to right on the periodic table but will increase as you go down a certain group.
There's different approaches to finding the atomic radius that depend on the element's condition. If the element is a metal, its atomic radius is half the distance between the centers of neighboring atoms in a solid sample. If the element is a nonmetal or metalloid, we use half the distance between the nuclei of atoms joined by a chemical bond (also know as covalent radius). If the element is a noble gas, we use van der Waals radius. Section 2.8 in the textbook has helpful graphics!
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