How to find the radius of a graph when eccentricities of all vertices are the same?

Question

I've came to a conclusion that eccentricities of all vertices are the same in the picture above:

e(A)=2
e(B)=2
e(C)=2
e(D)=2
e(E)=2
e(F)=2

Since eccentricities of all vertices are the same, does that mean that the radius of a graph equals $2$ as well and that all vertices are the central points?