Famed Greek in Brussels irrational, taking travels round (9)
I believe the answer is:
euripides
'famed greek' is the definition.
The definition suggests a singular noun which matches the answer.
'brussels irrational taking travels round' is the wordplay.
'brussels' becomes 'EU' (European Parliament is based in Brussels).
'irrational' becomes 'pi' (an irrational number).
'taking travels' becomes 'rides' (riding is a kind of traveling. I am not sure about the 'taking' bit.).
'round' is an insertion indicator.
'pi' put into 'rides' is 'ripides'.
'eu'+'ripides'='EURIPIDES'
'in' acts as a link.
Can you help me to learn more?
(Other definitions for euripides that I've seen before include "old playwright" , "Greek dramatist - rise up, die (anag)" , "old dramatist" , "Gk. tragedian, wrote Medea" , "Ancient Greek dramatist" .)