Length Command

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 Distance or Length tool.

CAS Specific Syntax

Length[Function, Number t1, Number t2]

Calculates the length of a function graph from point x=t1 to point x=t2.

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] gives you "sqrt(3)".

Length[Curve, Number t1, Number t2]

Calculates the length of a curve from point x=t1 to point x=t2.

Length[Curve, Variable a, Number t1, Number t2]

Calculates the length of a curve from point a=t1 to point a=t2.