In military language, it would be “about face”; and in common English, “face the rear”. The words, “turn around” are often enough to mean the same thing; but adding “right” confirms that the request is to do a 90 degree turn. The meaning given to “right” in this case, is ‘fully’ or ‘completely’.
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contrapositionWhat does "right" mean?She turned right around to look at him.It could also mean that she turned around immediately. As usual, you have not bothered to help us with any context.