Who shouted 'Eureka!' and screamed 'Hi!' running around? (10)

I believe the answer is:

archimedes

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

'who shouted eureka' is the definition.
I can't judge whether this defines the answer.

'screamed hi running around?' is the wordplay.
'running around?' indicates an anagram.
'screamed'+'hi'='screamedhi'
'screamedhi' with letters rearranged gives 'ARCHIMEDES'.

'and' acts as a link.

Can you help me to learn more?

(Other definitions for archimedes that I've seen before include "Greek physicist" , "Syracusan" , "Greek mathematician and inventor" , "Old mathematician" , "'Eureka' scientist" .)

I've seen this clue in The Everyman puzzle in The Observer.

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