Difference between revisions of "Length Command"
From GeoGebra Manual
Line 25:  Line 25:  
1=  1=  
; Length[ <Arc> ]  ; Length[ <Arc> ]  
−  : Returns the '''arc length''' (  +  : Returns the '''arc length''' (i.e. just the length of the curved section) of an arc or sector. 
}}  }}  
==CAS Syntax==  ==CAS Syntax== 
Revision as of 19:25, 25 June 2012
 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].
 Example:
Length[2x, 0, 1]
returns 2.23606797749979, about \sqrt{5}.
 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. For details see the article about First Command.
Note:
See also Distance or Length tool.
Following text is about a feature that is supported only in GeoGebra 4.2.

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{5}.
 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{5}.
 Length[ <Segment> ]
 Yields the length of the segment.