Imposing area in Georgian city (7)

I believe the answer is:

augusta

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'georgian city' is the definition.
'Augusta' can be an answer for 'city' (Augusta is an example). I am not sure about the 'georgian' bit.

'imposing area' is the wordplay.
'imposing' becomes 'august' (I've seen this before).
'area' becomes 'a' (maths abbreviation).
'august'+'a'='AUGUSTA'

'in' is the link.

Can you help me to learn more?

(Other definitions for augusta that I've seen before include "City of Georgia" , "US state capital - girl's name" , "Place in Georgia" , "23 [LOVELACE] 's first name" , "American city" .)

I've seen this clue in The Telegraph and The Independent.

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