Middle English fer, from Old English feorr "far, remote, distant," from Proto-Germanic *ferera- (cognates: Old Saxon fer, Old Frisian fer, Old Norse fjarre, Dutch ver, Old High German ferro, German fern), probably a development in western Proto-Germanic from the adverb (see far (adv.)). Far East "China, Japan, and surrounding regions" is from 1838.
Middle English fer, from Old English feor "to a great distance, long ago," from Proto-Germanic *ferro (source also of Old Saxon fer, Old Frisian fir, Old Norse fiarre, Old High German fer, Gothic fairra), from PIE root *per- (1), base of words for "through, forward," with extended senses such as "across, beyond" (source also of Sanskrit parah "farther, remote, ulterior," Hittite para "outside of," Greek pera "across, beyond," Latin per "through," Old Irish ire "farther"). For vowel change, see dark (adj.). Paired with wide to mean "everywhere" since 9c.
late 14c., "force-meat, stuffing;" 1520s, in the dramatic sense "ludicrous satire; low comedy," from French farce "comic interlude in a mystery play" (16c.), literally "stuffing," from Old French farcir "to stuff," (13c.), from Latin farcire "to stuff, cram," which is of uncertain origin, perhaps from PIE *bhrekw- "to cram together," and thus related to frequens "crowded."
... for a farce is that in poetry which grotesque is in a picture. The persons and action of a farce are all unnatural, and the manners false, that is, inconsisting with the characters of mankind. [Dryden, "A Parallel of Poetry and Painting"]
According to OED and other sources, the pseudo-Latin farsia was applied 13c. in France and England to praise phrases inserted into liturgical formulae (for example between kyrie and eleison) at the principal festivals, then in Old French farce was extended to the impromptu buffoonery among actors that was a feature of religious stage plays. Generalized sense of "a ridiculous sham" is from 1690s in English.
Old English faran "to journey, set forth, go, travel, wander, make one's way," also "be, happen, exist; be in a particular condition," from Proto-Germanic *faranan "to go" (source also of Old Saxon, Old High German, Gothic faran, Old Norse and Old Frisian fara, Dutch varen, German fahren), from PIE *por- "going, passage," from root *per- (2) "to lead, pass over." Related: Fared; faring.