Area Command

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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.
Note:
  • 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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