Studio

google

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early 19th century: from Italian, from Latin studium (see study).

wiktionary

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From Italian studio(“room for study”), from Latin studium.

Doublet of  study. 

etymonline

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studio (n.)

1819, "work-room of a sculptor or painter," usually one with windows to admit light from the sky, from Italian studio "room for study," from Latin studium (see study (v.)). Motion picture sense first recorded 1911; radio broadcasting sense 1922; television sense 1938. Studio apartment first recorded 1903.