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We study geometric inequalities for the circumradius and diameter withrespect to general gauges, partly also involving the inradius and the Minkowskiasymmetry. There are a number of options for defining the diameter of a convexbody that fall apart when we consider non-symmetric gauges. These definitionscorrespond to different symmetrizations of the gauge, i.e. means of the gauge$C$ and its origin reflection $-C$.

Jung-type Inequalities and Blaschke-Santal\'o Diagrams for Different Diameter Variants