ArcLength

ArcLength[reg]

gives the length of the one-dimensional region reg.

ArcLength[{x1,,xn},{t,tmin,tmax}]

gives the length of the parametrized curve whose Cartesian coordinates xi are functions of t.

ArcLength[{x1,,xn},{t,tmin,tmax},chart]

interprets the xi as coordinates in the specified coordinate chart.

Details and Options

Examples

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Basic Examples  (3)

The length of the line connecting the points , , and :

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The length of a circle with radius :

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Circumference of a parameterized unit circle:

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Length of one revolution of the helix , , expressed in cylindrical coordinates:

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Scope  (16)

Options  (3)

Applications  (8)

Properties & Relations  (6)

Possible Issues  (2)

Introduced in 2014
(10.0)
|
Updated in 2019
(12.0)