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geometry

 area
 compute the area of a triangle, square, circle, or ellipse

 Calling Sequence area(obj)

Parameters

 obj - triangle, square, circle, or ellipse.

Description

 • The routine area returns the area of the input object which is a triangle, a square, a circle, or an ellipse.
 • The command with(geometry,area) allows the use of the abbreviated form of this command.

Examples

 > $\mathrm{with}\left(\mathrm{geometry}\right):$
 > $\mathrm{triangle}\left(\mathrm{ABC},\left[\mathrm{point}\left(A,0,0\right),\mathrm{point}\left(B,2,0\right),\mathrm{point}\left(C,1,3\right)\right]\right):$
 > $\mathrm{area}\left(\mathrm{ABC}\right)$
 ${3}$ (1)
 > $\mathrm{square}\left(\mathrm{Sqr},\left[\mathrm{point}\left(A,\left[1,-{2}^{\frac{1}{2}}+1\right]\right),\mathrm{point}\left(B,\left[{2}^{\frac{1}{2}}+1,1\right]\right),\mathrm{point}\left(C,\left[1,{2}^{\frac{1}{2}}+1\right]\right),\mathrm{point}\left(E,\left[-{2}^{\frac{1}{2}}+1,1\right]\right)\right]\right):$
 > $\mathrm{area}\left(\mathrm{Sqr}\right)$
 ${4}$ (2)
 > $\mathrm{circle}\left(c,\left[\mathrm{point}\left(\mathrm{OO},-3,2\right),2\right]\right):$
 > $\mathrm{area}\left(c\right)$
 ${4}{}{\mathrm{π}}$ (3)
 > $\mathrm{ellipse}\left(e,\frac{{x}^{2}}{16}+\frac{{y}^{2}}{9}=1,\left[x,y\right]\right):$
 > $\mathrm{area}\left(e\right)$
 ${12}{}{\mathrm{π}}$ (4)