Is it true for two "parallel" closed smooth curves?🤔
\[\text{Length$(\alpha$)$=$Length$(\beta)+2\pi r$}\]
Source: 🔗 https://t.co/aAMClwEaaM
#ParallelCurves #SmoothCurves #ClosedCurves #ParallelSmoothCurves #CurveLength #Length #AnalyticGeometry #ArcLength #Perimeter #Geometry #Curves #theorem #2pir
Prove the theorem on analytic geometry in the picture.

I discovered this elegant theorem in my facebook feed. Does anyone have any idea how to prove? Formulations of this theorem can be found in the answers and the comments. You are welcome to join in ...

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