Calculates the area of a closed loop series.
POLYAREA(series)
series |
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Optional. A series. Defaults to the current Window. |
POLYAREA(xseries, yseries)
xseries |
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Optional. A series. Defaults to the X values of the current Window. |
yseries |
- |
Optional. A series. Defaults to the Y values of the current Window. |
A scalar, the closed polygon area..
W1: gsin(6, 1, 1/5)
W2: gcos(6, 1, 1/5)
W3: xy(w1, w2)
W4: {polyarea(w3)}
W3 contains a regular pentagon. W4 contains the value 2.377641, the approximate area of the pentagon.
f := 6;
W1: gsin(f+1, 1, 1/f)
W2: gcos(f+1, 1, 1/f)
W3: xy(w1, w2)
W4: {polyarea(w3)}
W3 contains a regular hexagon parameterize by the hot variable f. W4 contains the value 2.598076, the approximate area of the hexagon.
f = 8;
Changing f to 8 creates an octagon in W3 with the area calculated in W4 as 2.828427.
f := 6;
W1: gsin(f+1, 1, 1/f)
W2: gcos(f+1, 1, 1/f)
W3: {polyarea(w1, w2)}
Same as the previous example except the X and Y values
POLYAREA expects a closed polygon and automatically adds the closing point if the starting point does not equal the ending point.
See CAREA to compute the area of an arbitrary closed loop curve.