Length Command

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Length[Vector]
Yields the length of the vector.
Length[Point A]
Yields the length of the position vector of the given point .
Length[Function, Number x1, Number x2]
Yields the length of the function graph in the interval [x1, x2].
Length[Function, Point A, Point B]
Yields the length of the function graph between the two points A and B.
Note: If the given points do not lie on the function graph, their x‐coordinates are used to determine the interval.
Length[Curve, Number t1, Number t2]
Yields the length of the curve between the parameter values t1 and t2.
Length[Curve c, Point A, Point B]
Yields the length of curve c between two points A and B that lie on the curve.
Length[List]
Yields the length of the list, which is the number of elements in the list.
Length[Text]
Yields the number of characters in the text.
Length[Locus]
Returns the number of points that the given locus is made up of. Use Perimeter[Locus] to get the length of the locus itself.
Note:
See also Tool Distance.gif Distance or Length tool.

CAS Syntax

Length[Function, Number t1, Number t2]
Calculates the length of a function graph from point x=t1 to point x=t2.
Example:
Length[2x, 0, 1] yields \sqrt{3}.
Length[Function, Variable a, Number t1, Number t2]
Calculates the length of a function graph from point a=t1 to point a=t2.
Example:
Length[2a, a, 0, 1] yields \sqrt{3}.
Length[Curve, Number t1, Number t2]
Calculates the length of a curve from point x=t1 to point x=t2.
Example:
Length[2a, a, 0, 1] yields \sqrt{3}.
Length[Curve, Variable a, Number t1, Number t2]
Calculates the length of a curve from point a=t1 to point a=t2.
Example:
Length[2a, a, 0, 1] yields \sqrt{3}.
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