Readings & Meanings:
I'm visiting my distant relatives.
I'm visiting my relatives who live far away.
We went on a hike to the other side of the mountain.
Nobita is eternally a grammar-school student.
Same as 園, 遠 has the 袁 phonetic. That's great, because otherwise I would never remember that 遠 also has a reading of えん, as in 公園.
Shinnyou on the left and bottom. By going on the road, you can get far away.
Be careful. The long "o" sound in 遠い is "to" + "o", not "to" + "u". When typing it in, you'll never be able to type 遠い by typing とうい.