Centre of Kalahari Desert is this (4)

I believe the answer is:

arid

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'centre' is the definition.
The definition and answer are not the same part of speech.

'of kalahari desert is this' is the wordplay.
'of' says the answer is hidden in the clue.
'ARID' is hidden in the letters of 'kalahari desert this'.

Can you help me to learn more?

(Other definitions for arid that I've seen before include "(Of an area) very dry" , "Without much rainfall" , "Excessively dry" , "Dry and parched, as with regions" , "(Of land) very dry" .)

I've seen this clue in The Times.

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