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Calculate the area using parametric plot

Posted 1 year ago

I would like to ask a question.

If we have some parametric plot, and it will be a shape, can we use the "area" function to calculate that shape?

Here is the simple program.

\[Alpha] = \[Pi];
\[Alpha]1 = .5 \[Pi];
g[1] = ParametricPlot[{-8 + u Cos[\[Alpha]1], 
    u Sin[\[Alpha]1]}, {u, -8, 8}, PlotStyle -> Green];
g[2] = ParametricPlot[{u Cos[\[Alpha]], 8 + u Sin[\[Alpha]]}, {u, -8, 
    8}, PlotStyle -> Green];
g[3] = ParametricPlot[{8 + u Cos[\[Alpha]1], 
    u Sin[\[Alpha]1]}, {u, -8, 8}, PlotStyle -> Green];
g[4] = ParametricPlot[{u Cos[\[Alpha]], -8 + u Sin[\[Alpha]]}, {u, -8,
     8}, PlotStyle -> Green];
ar = {};
AppendTo[gar, g[1]];
AppendTo[gar, g[2]];
AppendTo[gar, g[3]];
AppendTo[gar, g[4]];
Show[gar, AxesOrigin -> {0, 0}, PlotRange -> All]

enter image description here

Thank you

POSTED BY: Abdullah Syafiq
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