We also use "περιφέρεια" for the circumference of a circle so I could say "στην περιφέρεια της ψησταριάς" to make a nerdy joke... but that supports your point.
Blasphemy! (In English, at least, circles have a "circumference" while every other shape has a "perimeter". Ovals seem to use either word.)
I never actually thought about combining "perimeter" with "circumference" to get "periphery".
I've lived in the UK for the last 15 years. I even think in English, these days.
The problem is that I keep forgetting Greek words and I find myself using English expressions even when I speak in Greek, even when I'm not speaking about work. And then I start saying things I'd never say in either language. I'm particularly shocked when I make blunders like "περιφέρεια του κύκλου". I just hope it's too early for early Alzheimer's.