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I don't think we'll ever need to calculate the value of an atomic radius, but we should know the trends of increasing/decreasing atomic radii across periods or groups of the periodic table. For example, the atomic radius gets smaller as you go from left to right in a period because the higher positive charge (atomic number) pulls the electrons closer and closer.
For strength in bonds will be most likely for the final. To the left and down are the trends for increasing atomic radii. The larger the distance between the centers of the atoms, the weaker the bonds. The weaker the bond, the stronger the acid and base (because a strong acid and base will completely dissociate in water).
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