Do we really know how the scales compare?
According to www.ex-astris-scientia.org
, the K-7 is 450m and the Constitution Class ships are 289m.
Based on what evidence? I said "know," not "conjecture."
EDIT: Okay, I tracked it down myself, and it says, "The diameter of 450m is based on a very rough comparison with the USS Enterprise and the small shuttle model in the shuttlebay of Greg Jein's reconstruction of K-7 for DS9: 'Trials and Tribble-ations'." So it's only approximate, although I guess it does get you within the ballpark.