Yes, there is a function in the stdlib to do just this, so better to use that. In particular, I wouldn't do this: path := r.URL.Path[1:] - taking the path from user input without cleaning it at all is a bit dangerous, I think they have guards now in http.FileServer, but I would clean it as soon as you use it to prevent directory traversal, whatever method you're using. So I think the link you have provided is a far better starting point.
I tend not to downvote links like this though which are well-meaning but a little flawed, so have just left it at 1 - would rather keep downvotes for actual bad behaviour and spam.