1. far; distant; far away; a long way off; in the distance
それは決して遠くはない場所です。It is a place that is by no means far.
2. distant (past); remote (in time); remote; far-removed (in time)
それも、遠い記憶ではない。That, too, is not a distant memory.
3. distant (relationship or kinship); having little to do (with someone)
4. far (from something else in quality, degree, etc.); not similar; way off
理想には遠いが、それでもこの前よりもマシだろう。It's far from ideal, but it's probably still better than last time.
5. hard (of hearing)
as 耳が遠い