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Arc length is the distance between two points along a section of a curve.
Determining the length of an irregular arc segment by approximating the arc segment as connected line segments is also called curve rectification. A rectifiable curve has a finite number of segments in its rectification.
If a curve can be parameterized as an injective and continuously differentiable function f : → R n {\displaystyle f\colon \to \mathbb {R} ^{n}} , then the curve is rectifiable.
The advent of infinitesimal calculus led to a general formula that provides closed-form solutions in some cases.
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