# Area enclosed by a polygon

From support e-mail:

Q: Will DPLOT compute the area and or acreage within a closed plotted polygon?

A: Yes. If you use the \$AREA shortcut in any text entry (title lines, axis labels, legend, etc.) DPlot will report the area enclosed by your polygon. If the points are arranged in a clockwise direction the value will be positive; if counterclockwise the value will be negative. You can force a positive answer by using the absolute value operation, as in "Area=\$=(ABS(\$AREA))". The initial "\$=" tells DPlot an equation follows, which must be enclosed by parentheses.

If you have more than 1 curve then you'll need to use \$AREA(n), where n is the 1-based index of the curve.

For most applications (and in particular since you asked about acreage) the value replacing \$AREA is perfect. If you're trying to find the area enclosed by what should be a smooth curve, though, you might need to generate more points, if possible. The circle below was generated with X=f(t), Y=g(t) with X=2*cos(t), Y=2*sin(t) with the spacing in t set to 1 degree. The difference between the calculated area and the well-known area of a circle is due to the spacing between points.

In case anybody is wondering, the plain text for that text note is:

```R	=2
Area	=\$AREA
{\sp}r{\u2}	=\$=(PI*4)```

with the tab stop set to 5 characters.

For more information see How do I find the area under a curve? in the online manual.

This page contains a single entry by David Hyde published on May 13, 2009 11:55 AM.

Area between 2 curves was the previous entry in this blog.

Ternary plot options for rocks is the next entry in this blog.

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