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Let ( X , d ) {\displaystyle (X,d)} be a bounded metric space. The radius of X {\displaystyle X} is defined as:
inf { r ∣ ∃ x ∈ X , B ( x , r ) = X } {\displaystyle \inf\{r\mid \ \exists \ x\in X,B(x,r)=X\}}
The radius lies between half the diameter, and the diameter.
