Crossword Genius

Religious sub-group or a part of a circle (6)

Ross

I believe the answer is:

sector

I'm a little stuck... Click here to teach me more about this clue!

'a part of a circle' is the definition.
(I've seen this in another clue)

'religious sub-group or' is the wordplay.
I cannot quite understand how this works, but
'group' could be 'sect' (I've seen this in other clues) and 'sect' is found within the answer.
'or' is within the answer.
This accounts for all the letters.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for sector that I've seen before include "Division or part" , "Distinct area or portion" , "Area covered by corset" , "A body of people who form part of society or economy" , "Part of circle between radii" .)

I've seen this clue in the Sydney Morning Herald.
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