Great podcast episode of Science Talk where Arthur Benjamin describes this fact, as well as an interesting version of it using a football field - running from the goal post to 13 left of the centre of the field is only a foot farther than running in a straight line?
https://itunes.apple.com/ca/podcast/science-talk/id122384595?mt=2&i=357539520
Benjamin's book sounds like a great read as well:
https://www.amazon.com/Magic-Math-Solving-Figuring-Out/dp/0465054722
The way he explains how 0.9999... = 1 in one sentence is still blowing my mind. Apparently 4 other ways explained in the book!