I think this your question is not easily answered (important details lacking: e.g.: tumors in animals, humans, clinical or only experimental procedure, etc.etc....).
Talking about / addressing human (diagnostic) pathology of tumors (Disclaimer: I am no medical doctor or pathologist, but as a natural scientist have visited a lot of grossing sessions in the Pathological Institute I worked for 35 years) I remember my first 'Boss' who -on slicing the tissue specimens most often declared (only by visual inspection of properties of section surface like glance and roughness, and following manual palpation) this to be tumor, that not / and another area or "border" to be necrotic, altered tissue etc...
Usually such skills and special knowledge is/are 'transferred' during tissue/organ grossing sessions with an "experienced colleague / expert, usually a (..., surgical,....)pathologist or oncologist with long lasting professional and hands on experience. Perhaps in old textbooks / manuals of Autopsy/Necropsy/Histology one can find some hint about how to localize macroscopically (the) necrotic areas of freshly excised and sectioned tumors.... often with massive (central) hemorrhage... (the problem might not be the "obviously necrotic areas" but those areas which microscopically will show necrotic alterations...)... The other option is (if I am not completely wrong): 'palpation'....(cf. COMPARATIVE ONCOLOGY, Chapter 18CANCER DIAGNOSIS @ https://www.ncbi.nlm.nih.gov/books/NBK9550/ ).
I am looking forward to many replies by pathologist(s) / oncologist(s), hoping you'll get an answer to your question....