[Tex/LaTex] Shaded region between the area and a circle

tikz-pgf

How can I draw a square whose side is 6 inscribed in a circle and make the program display the shaded region between the square and the circle

Best Answer

Here's a simple option; the value for \side controls half the side of the square:

\documentclass{article}
\usepackage{tikz}

\def\side{3}

\begin{document}

\begin{tikzpicture}
\draw[fill=yellow!40] (0,0) circle (\side*1.4142);
\draw[fill=white] (-\side,-\side) rectangle (\side,\side);
\end{tikzpicture}

\end{document}

enter image description here

Another option using the intersections library; this time the value for \radius controls the radius of the circle:

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{intersections}

\def\radius{2}

\begin{document}

\begin{tikzpicture}
\draw[name path=circle,fill=yellow!40] (0,0) circle (\radius);
\path[name path=line1] (-\radius,-\radius) -- (\radius,\radius);
\path[name path=line2] (-\radius,\radius) -- (\radius,-\radius);
\filldraw[draw=black,fill=white,
  name intersections={of=circle and line1,by={a,b}},
  name intersections={of=circle and line2,by={c,d}}] 
  (a) -- (c) -- (b) -- (d) -- cycle;
\end{tikzpicture}

\end{document}

enter image description here

Related Solutions

[Tex/LaTex] Filling area between curve and circle using TikZ

You can fill the area by drawing a closed path which is a combination of the curves and a corresponding arc.

\documentclass[11pt]{article}
\usepackage[T1]{fontenc}
\usepackage{tikz}

\begin{document}
  \begin{tikzpicture}[
    thick,
    every node/.style={
      circle,
      scale=.5,
      fill
    }
  ]
    \draw (0,0) ++(160:3) arc (160:-160:3);

    \node (e1) at (160:3) {};
    \node (e2) at (-160:3) {};

    \draw(e1) -- node[fill=none,left,scale=2] {$e$} (e2);

    \fill[cyan,draw=black] plot[smooth] coordinates {
      (160:3)
      (130:2)
      (110:2.5)
      (100:2.5)
      (90:3)
    } arc[radius=3,start angle=90,end angle=160];
    \fill[cyan,draw=black] plot[smooth] coordinates {
      (40:3)
      (30:1)
      (-40:1.5)
      (-80:3)
    } arc[radius=3,start angle=-80,end angle=40];
  \end{tikzpicture}
\end{document}

The choice of the fill color is of course left to you. The chosen one here is only for demonstration purposes.

enter image description here

[Tex/LaTex] Drawing an equilateral triangle inside a circle, an incircle, and two shaded regions

One option:

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\definecolor{mypurple}{RGB}{236,145,191}

\newlength\Radius
\setlength\Radius{2cm}

\begin{document}

\begin{tikzpicture}[line join=round]
\filldraw[fill=mypurple,even odd rule]
  (0,0) -- node[above] {$R$} (210:\Radius) arc [start angle=210,end angle=90,radius=\Radius] -- (0,0)
  (210:\Radius) -- (90:\Radius) -- (0,0)
  (0,0) -- (30:0.5\Radius) arc [start angle=30,end angle=-90,radius=0.5\Radius] --(0,0)
  (30:0.5\Radius) -- (-30:\Radius) -- (-90:0.5\Radius) -- (0,0);
\draw 
  (0,0) circle [radius=\Radius]
  (0,0) circle [radius=0.5\Radius]
  (90:\Radius) -- (210:\Radius) -- (-30:\Radius) -- cycle
  (0,0) -- (-30:0.5\Radius) node[midway,above] {$r$};
\fill (0,0) circle [radius=1.5pt];
\end{tikzpicture}

\end{document}

The square case:

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\definecolor{mypurple}{RGB}{236,145,191}

\newlength\Radius
\setlength\Radius{2cm}

\begin{document}

\begin{tikzpicture}[line join=round]
\fill[fill=mypurple,even odd rule,draw=white]
  (0,0) -- (0:{\Radius/sqrt(2)}) arc[start angle=0,end angle=-90,radius=\Radius/sqrt(2)] -- (0,0) rectangle (-45:\Radius)
  (0,0) -- (45:\Radius) arc[start angle=45,end angle=135,radius=\Radius] -- (0,0) -- (45:\Radius) -- (135:\Radius) -- cycle ;
\draw
  (0,0) circle [radius=\Radius]
  (225:\Radius) rectangle (45:\Radius)
  (0,0) circle [radius=\Radius/sqrt(2)];
\fill (0,0) circle [radius=1.5pt];
\draw 
  (225:\Radius) -- node[above left=-1pt] {$R$} (0,0) -- node[above right=-1pt] {$r$} (-45:{\Radius/sqrt(2)}); 
\end{tikzpicture}

\end{document}

Update:

Without even odd rule:

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\definecolor{mypurple}{RGB}{236,145,191}

\newlength\Radius
\setlength\Radius{2cm}

\begin{document}

\begin{tikzpicture}[line join=round]
\fill[fill=mypurple]
  (210:\Radius) arc [start angle=210,end angle=90,radius=\Radius] -- cycle
  (30:0.5\Radius) arc [start angle=30,end angle=-90,radius=0.5\Radius] -- (-30:\Radius) -- cycle;
\draw 
  (0,0) circle [radius=\Radius]
  (0,0) circle [radius=0.5\Radius]
  (90:\Radius) -- (210:\Radius) -- (-30:\Radius) -- cycle
  (0,0) -- (210:\Radius) node[midway,above] {$R$}
  (0,0) -- (-30:0.5\Radius) node[midway,above] {$r$}
  (90:\Radius) -- (90:-0.5\Radius);
\fill (0,0) circle [radius=1.5pt];
\end{tikzpicture}

\begin{tikzpicture}[line join=round]
\fill[fill=mypurple]
  (0:{\Radius/sqrt(2)}) arc[start angle=0,end angle=-90,radius=\Radius/sqrt(2)] -- (-45:\Radius) -- cycle
  (45:\Radius) arc[start angle=45,end angle=135,radius=\Radius] -- cycle ;
\draw
  (0,0) circle [radius=\Radius]
  (225:\Radius) rectangle (45:\Radius)
  (0,0) circle [radius=\Radius/sqrt(2)];
\fill (0,0) circle [radius=1.5pt];
\draw 
  (225:\Radius) -- node[above left=-1pt] {$R$} (0,0) -- node[above right=-1pt] {$r$} (-45:{\Radius/sqrt(2)}); 
\end{tikzpicture}

\end{document}

Best Answer

Related Solutions

[Tex/LaTex] Filling area between curve and circle using TikZ

[Tex/LaTex] Drawing an equilateral triangle inside a circle, an incircle, and two shaded regions

Update:

Related Question