Skip to content
中文Sign in
Back to exploration
Bilibili · Charles队长Original video
Calculus · 中文

Arc length of a plane curve

A Chinese visual explanation of arc length of a plane curve. Catalog metadata imported from the original Math Video site and checked against the source platform; not a transcript.

Reviewed learning material · Video analysis · English

The animation approximates a parametric curve by an inscribed polygonal path. Each chord length is the Euclidean length of the coordinate increment. For a C1 curve, refining the partition gives the integral of speed. Length counts the traversal, so repeatedly visiting an arc counts it repeatedly.

Before you watch

  • Parametric equations
  • Pythagorean theorem
  • Derivatives and definite integrals

Keep the idea going