Topic: Arc Length and Curve Length

Choosing Exact or Numerical Arc-Length Methods

Comparing Graph and Parametric Length Setups

Using Symmetry to Reduce Arc-Length Calculations

Simpson’s Rule for Arc Length

Error Control and Refinement for Arc-Length Estimates

Numerical Approximation of Arc-Length Integrals

Geometric Bounds for Arc Length

Common Setup Errors in Arc-Length Problems

Ellipse Circumference and Elliptic Integrals

Additivity for Piecewise Smooth Curves