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The word “Greek” is found only in the New Testament, where a distinction is observed between “Greek” and “Grecian”. The former is (1) a Greek by race (Acts 16:1-3; 18:17; Romans 1:14), or (2) a Gentile as opposed to a Jew (Romans 2:9-10). The latter, meaning properly “one who speaks Greek,” is a foreign Jew opposed to a home Jew who dwelt in Judea.
The word “Grecians” in Acts 11:20 should be “Greeks,” denoting the heathen Greeks of that city, as rendered in the Revised King James Version according to the reading of the best manuscripts (“Hellenes”).