Crossword Genius

A bird shedding hard patch (4)

Ross

I believe the answer is:

area

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'a' is the definition.
(maths abbreviation)

I don't understand the remainder of the clue.

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(Other definitions for area that I've seen before include "field of study" , "Space occupied by something" , "Patch" , "part of town" , "Space for a specific purpose, say picnic" .)

I've seen this clue in The Independent.
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