Another proof of the radius of curvature that's more calculus heavy and contains more visuals. See the older video here: https://www.youtube.com/watch?v=vyBkvGnPwJk 0:00 - Introduction 0:17 - Define Circle Equation 0:37 - Calculations 2:47 - Radius of Curvature Equation 3:44 - Outro Music: Music by Vincent Rubinetti Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u