Cryptic crossword clue
Virtually delighted to find unit for measuring angles 6

The most common and most likely answer to this crossword clue is the 6 letter word RADIAN

I've seen this crossword clue in Independent
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What does RADIAN mean?

RADIAN noun
  1. In the International System of Units, the derived unit of plane angular measure of angle equal to the angle subtended at the centre of a circle by an arc of its circumference equal in length to the radius of the circle. Symbol: rad

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