How Far Is It From Taoyuen, Taiwan To Taipei, Tawain?

I think the more usual transliteration into English would be Tao-yuan.  unless there is somewhere else in Taiwan you meant.

Straightline distance:about 14 miles / 22 km.  Taipei is such a big place, that the exact distance depends where you are going to within that big city.

I can't find any route-finding websites, but looks like the driving distance would be about 18 miles / 29 km (the road is reasonably straight between Taipei City and Taoyuan).

It's generally said that driving in Taipei is only for the insane or those who grew up in those conditions and dont' get phased by it.