LATEX Tikz shading region between polar plots











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I'm attempting to use just Tikz to shade in the region within the polar plot but outside of the internal circle as seen in the screenshot below...



I understand that pgf plots might be the better package to use, although I am very unfamiliar with it, speaking of which I'm very new to Tikz as well. This is my first post here, as I am unable to find previous posts that answer this particular question. Any help is appreciated. Thank you



[ ]



This is the code that I have completed so far, but as you can see, I'm struggling to un-shade the internal circle.



documentclass[border=5mm]{standalone}   
usepackage{tikz}
begin{document}
begin{tikzpicture}[>=latex]

% cartesian coordinates
draw[-] (-1cm,0cm) -- (3cm,0cm) node[right,fill=white] {$x$};
draw[-] (0cm,-2cm) -- (0cm,2cm) node[above,fill=white] {$y$};

% axis labels and tick marks
foreach x in {-1,0,...,3}
draw(x,3pt) -- (x,-3pt) node[fill=white, below] {footnotesize$x$};

foreach y in {-2,-1,...,2}
draw(-3pt,y) -- (3pt,y) node[fill=white, right] {footnotesize$y$};

% cosine graph
draw [thick,color=black,domain=0:2*pi,samples=200,smooth] plot (xy polar
cs:angle=x r,radius= {1+1*cos(x r)});
draw [thick,color=black,domain=0:2*pi,samples=200,smooth] plot (xy polar
cs:angle=x r,radius= {cos(x r)});

% shading
fill [fill=gray!50!white, opacity=0.3] plot [domain=0:2*pi] (xy polar
cs:angle=x r,radius= {1+1*cos(x r)});

end{tikzpicture}
end{document}


The following picture is what this code produced...
enter image description here










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    up vote
    1
    down vote

    favorite












    I'm attempting to use just Tikz to shade in the region within the polar plot but outside of the internal circle as seen in the screenshot below...



    I understand that pgf plots might be the better package to use, although I am very unfamiliar with it, speaking of which I'm very new to Tikz as well. This is my first post here, as I am unable to find previous posts that answer this particular question. Any help is appreciated. Thank you



    [ ]



    This is the code that I have completed so far, but as you can see, I'm struggling to un-shade the internal circle.



    documentclass[border=5mm]{standalone}   
    usepackage{tikz}
    begin{document}
    begin{tikzpicture}[>=latex]

    % cartesian coordinates
    draw[-] (-1cm,0cm) -- (3cm,0cm) node[right,fill=white] {$x$};
    draw[-] (0cm,-2cm) -- (0cm,2cm) node[above,fill=white] {$y$};

    % axis labels and tick marks
    foreach x in {-1,0,...,3}
    draw(x,3pt) -- (x,-3pt) node[fill=white, below] {footnotesize$x$};

    foreach y in {-2,-1,...,2}
    draw(-3pt,y) -- (3pt,y) node[fill=white, right] {footnotesize$y$};

    % cosine graph
    draw [thick,color=black,domain=0:2*pi,samples=200,smooth] plot (xy polar
    cs:angle=x r,radius= {1+1*cos(x r)});
    draw [thick,color=black,domain=0:2*pi,samples=200,smooth] plot (xy polar
    cs:angle=x r,radius= {cos(x r)});

    % shading
    fill [fill=gray!50!white, opacity=0.3] plot [domain=0:2*pi] (xy polar
    cs:angle=x r,radius= {1+1*cos(x r)});

    end{tikzpicture}
    end{document}


    The following picture is what this code produced...
    enter image description here










    share|improve this question







    New contributor




    salami_pirate is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






















      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      I'm attempting to use just Tikz to shade in the region within the polar plot but outside of the internal circle as seen in the screenshot below...



      I understand that pgf plots might be the better package to use, although I am very unfamiliar with it, speaking of which I'm very new to Tikz as well. This is my first post here, as I am unable to find previous posts that answer this particular question. Any help is appreciated. Thank you



      [ ]



      This is the code that I have completed so far, but as you can see, I'm struggling to un-shade the internal circle.



      documentclass[border=5mm]{standalone}   
      usepackage{tikz}
      begin{document}
      begin{tikzpicture}[>=latex]

      % cartesian coordinates
      draw[-] (-1cm,0cm) -- (3cm,0cm) node[right,fill=white] {$x$};
      draw[-] (0cm,-2cm) -- (0cm,2cm) node[above,fill=white] {$y$};

      % axis labels and tick marks
      foreach x in {-1,0,...,3}
      draw(x,3pt) -- (x,-3pt) node[fill=white, below] {footnotesize$x$};

      foreach y in {-2,-1,...,2}
      draw(-3pt,y) -- (3pt,y) node[fill=white, right] {footnotesize$y$};

      % cosine graph
      draw [thick,color=black,domain=0:2*pi,samples=200,smooth] plot (xy polar
      cs:angle=x r,radius= {1+1*cos(x r)});
      draw [thick,color=black,domain=0:2*pi,samples=200,smooth] plot (xy polar
      cs:angle=x r,radius= {cos(x r)});

      % shading
      fill [fill=gray!50!white, opacity=0.3] plot [domain=0:2*pi] (xy polar
      cs:angle=x r,radius= {1+1*cos(x r)});

      end{tikzpicture}
      end{document}


      The following picture is what this code produced...
      enter image description here










      share|improve this question







      New contributor




      salami_pirate is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      I'm attempting to use just Tikz to shade in the region within the polar plot but outside of the internal circle as seen in the screenshot below...



      I understand that pgf plots might be the better package to use, although I am very unfamiliar with it, speaking of which I'm very new to Tikz as well. This is my first post here, as I am unable to find previous posts that answer this particular question. Any help is appreciated. Thank you



      [ ]



      This is the code that I have completed so far, but as you can see, I'm struggling to un-shade the internal circle.



      documentclass[border=5mm]{standalone}   
      usepackage{tikz}
      begin{document}
      begin{tikzpicture}[>=latex]

      % cartesian coordinates
      draw[-] (-1cm,0cm) -- (3cm,0cm) node[right,fill=white] {$x$};
      draw[-] (0cm,-2cm) -- (0cm,2cm) node[above,fill=white] {$y$};

      % axis labels and tick marks
      foreach x in {-1,0,...,3}
      draw(x,3pt) -- (x,-3pt) node[fill=white, below] {footnotesize$x$};

      foreach y in {-2,-1,...,2}
      draw(-3pt,y) -- (3pt,y) node[fill=white, right] {footnotesize$y$};

      % cosine graph
      draw [thick,color=black,domain=0:2*pi,samples=200,smooth] plot (xy polar
      cs:angle=x r,radius= {1+1*cos(x r)});
      draw [thick,color=black,domain=0:2*pi,samples=200,smooth] plot (xy polar
      cs:angle=x r,radius= {cos(x r)});

      % shading
      fill [fill=gray!50!white, opacity=0.3] plot [domain=0:2*pi] (xy polar
      cs:angle=x r,radius= {1+1*cos(x r)});

      end{tikzpicture}
      end{document}


      The following picture is what this code produced...
      enter image description here







      tikz-pgf pgfplots texworks polarplot






      share|improve this question







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      salami_pirate is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question







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      salami_pirate is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|improve this question




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      asked 18 mins ago









      salami_pirate

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      New contributor





      salami_pirate is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      salami_pirate is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.



























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