Muffinnz

What you describe is the way that British people use the words. Centre is for something like a leisure centre. and the center of a circle is the middle of the circle.

I would never make the mistake of confusing those two since that's the way we have been taught in school. 

I think its that way, I guess I was taught that way so I think its that way.

(I was and am still being taught in a school with british English).

@Princess of Hearts 💛🧡 Really? Based on what I could find, they're supposed to be pretty much interchangeable...

I'm more familiar with American English myself, so I'd use "center" in any case... But the Cambridge Dictionary gives "the middle point or part" as one of the meanings for "centre".

https://dictionary.cambridge.org/dictionary/english/centre

"Center" is specifically mentioned as the "US spelling of centre".

https://dictionary.cambridge.org/dictionary/english/center

I can find several references to the "centre of the circle", though people do tend to misspell a lot of things. But even a Newcastle University page uses that spelling.

https://internal.ncl.ac.uk/ask/numeracy-maths-statistics/core-mathematics/geometry/geometry-of-a-circle.html

So it seems to me that both are acceptable in either meaning, just with regional differences. Though I know there are some cases of both spellings being used with different meanings – apparently a lot of theater enthusiasts like to use "theater" in reference to the place and "theatre" in reference to the art form, for example.