In reply to john arran:
I'd be inclined to go with the watch and strava. My tomtom watch shows if I chage lane on a running track, which is a distance change of about 1m or so.
Google on the other hand, are mapping the world. They are also gluing satellite images over street maps of varying quality. This is then backed up with google cars driving around making yet another measurement. Considering all of those variables and the scale of the achievement, they do a pretty good job. However, a dedicated hand held gps is probably going to be more accurate.