LATEX Removing part of shaded area in polar plot











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I've been working on creating the following picture using TikZ.



enter image description here



The following code is as far as I've gotten.



documentclass[width=5cm, height=5cm, border=2mm]{standalone}   
usepackage{tikz}
begin{document}
begin{tikzpicture}[>=latex]

% cartesian coordinates
draw[-] (-2cm,0cm) -- (2cm,0cm) node[right,fill=white] {$x$};
draw[-] (0cm,-1cm) -- (0cm,3.1cm) node[above,fill=white] {$y$};

% sine graph with shading
draw [thick, domain=0:2*pi, samples=200, smooth] plot (xy polar cs:angle=x r,radius=
{1+1*sin(x r)});
filldraw [thick, even odd rule, fill=gray!50, fill opacity=0.3, domain=pi/6:5*pi/6,
samples=200, smooth] plot (xy polar cs:angle=x r,radius= {1+1*sin(x r)})
(0,1.5)circle(1.5cm);

end{tikzpicture}
end{document}


I was attempting with this code to first plot the sine graph(the one with a little dimple at the bottom) and then plot the shaded circle graph. The sine graph will only exist between pi/6 and 5pi/6, thus it'll "even odd rule" with the existing shaded circle and remove the shading within that region but as seen below it doesn't quite work out the way I was expecting. Pardon my limp explanation of the even odd rule, it's new to me and I'm still learning how to competently use it.



The above code produces the following polar plot.



enter image description here



How can I remove the obvious gray semicircle so it'll be like the sketch above?



Cheers in advance!










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    up vote
    0
    down vote

    favorite












    I've been working on creating the following picture using TikZ.



    enter image description here



    The following code is as far as I've gotten.



    documentclass[width=5cm, height=5cm, border=2mm]{standalone}   
    usepackage{tikz}
    begin{document}
    begin{tikzpicture}[>=latex]

    % cartesian coordinates
    draw[-] (-2cm,0cm) -- (2cm,0cm) node[right,fill=white] {$x$};
    draw[-] (0cm,-1cm) -- (0cm,3.1cm) node[above,fill=white] {$y$};

    % sine graph with shading
    draw [thick, domain=0:2*pi, samples=200, smooth] plot (xy polar cs:angle=x r,radius=
    {1+1*sin(x r)});
    filldraw [thick, even odd rule, fill=gray!50, fill opacity=0.3, domain=pi/6:5*pi/6,
    samples=200, smooth] plot (xy polar cs:angle=x r,radius= {1+1*sin(x r)})
    (0,1.5)circle(1.5cm);

    end{tikzpicture}
    end{document}


    I was attempting with this code to first plot the sine graph(the one with a little dimple at the bottom) and then plot the shaded circle graph. The sine graph will only exist between pi/6 and 5pi/6, thus it'll "even odd rule" with the existing shaded circle and remove the shading within that region but as seen below it doesn't quite work out the way I was expecting. Pardon my limp explanation of the even odd rule, it's new to me and I'm still learning how to competently use it.



    The above code produces the following polar plot.



    enter image description here



    How can I remove the obvious gray semicircle so it'll be like the sketch above?



    Cheers in advance!










    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
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I've been working on creating the following picture using TikZ.



      enter image description here



      The following code is as far as I've gotten.



      documentclass[width=5cm, height=5cm, border=2mm]{standalone}   
      usepackage{tikz}
      begin{document}
      begin{tikzpicture}[>=latex]

      % cartesian coordinates
      draw[-] (-2cm,0cm) -- (2cm,0cm) node[right,fill=white] {$x$};
      draw[-] (0cm,-1cm) -- (0cm,3.1cm) node[above,fill=white] {$y$};

      % sine graph with shading
      draw [thick, domain=0:2*pi, samples=200, smooth] plot (xy polar cs:angle=x r,radius=
      {1+1*sin(x r)});
      filldraw [thick, even odd rule, fill=gray!50, fill opacity=0.3, domain=pi/6:5*pi/6,
      samples=200, smooth] plot (xy polar cs:angle=x r,radius= {1+1*sin(x r)})
      (0,1.5)circle(1.5cm);

      end{tikzpicture}
      end{document}


      I was attempting with this code to first plot the sine graph(the one with a little dimple at the bottom) and then plot the shaded circle graph. The sine graph will only exist between pi/6 and 5pi/6, thus it'll "even odd rule" with the existing shaded circle and remove the shading within that region but as seen below it doesn't quite work out the way I was expecting. Pardon my limp explanation of the even odd rule, it's new to me and I'm still learning how to competently use it.



      The above code produces the following polar plot.



      enter image description here



      How can I remove the obvious gray semicircle so it'll be like the sketch above?



      Cheers in advance!










      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've been working on creating the following picture using TikZ.



      enter image description here



      The following code is as far as I've gotten.



      documentclass[width=5cm, height=5cm, border=2mm]{standalone}   
      usepackage{tikz}
      begin{document}
      begin{tikzpicture}[>=latex]

      % cartesian coordinates
      draw[-] (-2cm,0cm) -- (2cm,0cm) node[right,fill=white] {$x$};
      draw[-] (0cm,-1cm) -- (0cm,3.1cm) node[above,fill=white] {$y$};

      % sine graph with shading
      draw [thick, domain=0:2*pi, samples=200, smooth] plot (xy polar cs:angle=x r,radius=
      {1+1*sin(x r)});
      filldraw [thick, even odd rule, fill=gray!50, fill opacity=0.3, domain=pi/6:5*pi/6,
      samples=200, smooth] plot (xy polar cs:angle=x r,radius= {1+1*sin(x r)})
      (0,1.5)circle(1.5cm);

      end{tikzpicture}
      end{document}


      I was attempting with this code to first plot the sine graph(the one with a little dimple at the bottom) and then plot the shaded circle graph. The sine graph will only exist between pi/6 and 5pi/6, thus it'll "even odd rule" with the existing shaded circle and remove the shading within that region but as seen below it doesn't quite work out the way I was expecting. Pardon my limp explanation of the even odd rule, it's new to me and I'm still learning how to competently use it.



      The above code produces the following polar plot.



      enter image description here



      How can I remove the obvious gray semicircle so it'll be like the sketch above?



      Cheers in advance!







      tikz-pgf texworks polarplot






      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.











      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.









      share|improve this question




      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.









      asked 14 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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