Graphics, Figures & Tables ⇒ Fill In Graph

[coachbennett1981]

Hey Everyone,

I have tried FillBetween and am now trying to use intersecting segments from a post I had on a different site. I am trying to create this graph from AP Classroom. I can't get the fill correct. If anyone could help, that would be great. I have tried many different combinations of L1--R2, etc with 2-3 terms, but can't get it right. I have also read the literature, but I just don't understand it. I have included a picture of what I am trying to complete.

Code: Select all

Code, edit and compile here:

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\documentclass[border=5mm]{article}
\usepackage{tikz,asymptote,ragged2e}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
  \usetikzlibrary{arrows.meta}
    \usetikzlibrary{backgrounds}
    \pgfplotsset{compat=newest}
    \usetikzlibrary{calc}
    \usepgfplotslibrary{fillbetween}
\pgfplotsset{
    interpret as polar/.style={
            x filter/.code=\pgfmathparse{cos(rawx)*rawy},
            y filter/.code=\pgfmathparse{sin(rawx)*rawy}
        }
}
\begin{document}
\begin{Center}
\begin{tikzpicture}[>=Triangle]
\begin{axis}[
            xtick distance=1,
            ytick distance=1,
            axis lines=center,
            axis equal image,
            enlargelimits=true,
        ]
    \addplot[name path=A,
            very thick,
            domain=0:180,
            samples=360,
            smooth,
            interpret as polar
        ] 
        (x,{1-2*cos(x)});
    \addplot[name path=B,
            very thick,
            domain=0:360,
            samples=360,
            smooth,
            interpret as polar
        ] (x,{1});
 
 
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[Stefan Kottwitz]

Hi Nick,

here's a quick idea - fill more with R*--L* and then fill the section with white as you did before:

Code: Select all

Code, edit and compile here:

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\documentclass[border=5mm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{backgrounds,arrows.meta}
\pgfplotsset{
    interpret as polar/.style={
            x filter/.code=\pgfmathparse{cos(rawx)*rawy},
            y filter/.code=\pgfmathparse{sin(rawx)*rawy}
        }
}
\begin{document}
\begin{tikzpicture}[>=Triangle]
\begin{axis}[
            xtick distance=1,
            ytick distance=1,
            axis lines=center,
            axis equal image,
            enlargelimits=true,
        ]
    \addplot[name path=A,
            very thick,
            domain=0:180,
            samples=100,
            smooth,
            interpret as polar
        ] 
        (x,{1-2*cos(x)});
    \addplot[name path=B,
            very thick,
            domain=0:360,
            samples=100,
            smooth,
            interpret as polar
        ] (x,{1});
    \addplot[name path=B,
            very thick,
            domain=0:360,
            samples=100,
            smooth,
            interpret as polar
 
 
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

Run LaTeX here

filled-plot.png (22.62 KiB) Viewed 8442 times

Stefan