Area Command

Area( <Point>, …​, <Point> )

Calculates the area of the polygon defined by the given points.

Area((0, 0), (3, 0), (3, 2), (0, 2)) yields 6.

Area( <Conic> )

Calculates the area of a conic section (circle or ellipse).

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.