Difference between revisions of "Area Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geometry}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geometry}}
; Area[ <Point>, ..., <Point> ]
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; Area( <Point>, ..., <Point> )
 
: Calculates the area of the polygon defined by the given points.
 
: Calculates the area of the polygon defined by the given points.
:{{example|1=<div><code>Area[(0, 0), (3, 0), (3, 2), (0, 2)]</code> yields ''6''.</div>}}
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:{{example|1=<code>Area((0, 0), (3, 0), (3, 2), (0, 2))</code> yields ''6''.}}
; Area[ <Conic> ]
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; Area( <Conic> )
 
: Calculates the area of a conic section (circle or ellipse).
 
: Calculates the area of a conic section (circle or ellipse).
:{{example|1=<div><code>Area[x^2 + y^2 = 2]</code> yields ''6.28''.</div>}}
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:{{example|1=<code>Area(x^2 + y^2 = 2)</code> yields ''6.28''.}}
; Area[ <Polygon> ]
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; Area( <Polygon> )
 
: Calculates the area of the polygon.
 
: Calculates the area of the polygon.
{{Note|
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{{Notes|1=
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* for Polygons, the absolute value of the Algebraic Area is calculated (which gives unexpected answers for self-intersecting polygons)
 
* In order to calculate the area between two function graphs, you need to use the command [[IntegralBetween Command|IntegralBetween]].
 
* In order to calculate the area between two function graphs, you need to use the command [[IntegralBetween Command|IntegralBetween]].
*See also the [[File:Tool Area.gif]] [[Area Tool|Area]] tool.}}
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*See also the [[File:Mode area.svg|link=|24px]] [[Area Tool|Area]] tool.}}

Latest revision as of 09:00, 11 October 2017


Area( <Point>, ..., <Point> )
Calculates the area of the polygon defined by the given points.
Example: Area((0, 0), (3, 0), (3, 2), (0, 2)) yields 6.
Area( <Conic> )
Calculates the area of a conic section (circle or ellipse).
Example: Area(x^2 + y^2 = 2) yields 6.28.
Area( <Polygon> )
Calculates the area of the polygon.
Notes:
  • for Polygons, the absolute value of the Algebraic Area is calculated (which gives unexpected answers for self-intersecting polygons)
  • In order to calculate the area between two function graphs, you need to use the command IntegralBetween.
  • See also the Mode area.svg Area tool.
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