Meandered in capital city, round area close to fairground (6)
I believe the answer is:
roamed
'meandered' is the definition.
(I've seen this before)
'capital city round area close to fairground' is the wordplay.
'capital city' becomes 'rome' (I've seen this before**).
'round' is an insertion indicator.
'area' becomes 'a' (maths abbreviation).
'close to' indicates one should take the final letters (the close/ending of).
The final letter of 'fairground' is 'd'.
'rome' going around 'a' is 'roame'.
'roame'+'d'='ROAMED'
'in' acts as a link.
(Other definitions for roamed that I've seen before include "Rambled around" , "Was a drifter" , "Wandered about without any destination" , "Meandered" , "Wandered about aimlessly" .)