Crossword Genius

Dvorak symphony recognised on radio by the public (3,5)

Ross

I believe the answer is:

new world

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

'dvorak symphony' is the definition.
I can't tell whether this defines the answer.

'recognised on radio by the public' is the wordplay.
'recognised' becomes 'knew' (know can mean to recognise or identify).
'on radio' indicates a 'sounds like' (homophone) clue.
'by' says to put letters next to each other.
'the public' becomes 'world' ('world' can be a synonym of 'public').
'knew' sounds like 'new'.
'new'+'world'='NEW WORLD'

Can you help me to learn more?

(Other definitions for new world that I've seen before include "Non-European" , "America" , "The Americas, to the explorers" , "From the --- --- (Dvor++k)" , "symphony?" .)

I've seen this clue in The Telegraph.
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