# Example: Intersecting arcs

Published 2009-09-13 | Author: Andrew Mertz

An example that uses tkz-2d.

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% Author: Andrew Mertz
\documentclass{article}

\usepackage{tikz,tkz-2d}

\usepackage[graphics,tightpage,active]{preview}
\setlength{\PreviewBorder}{3pt}
\PreviewEnvironment{tikzpicture}
\begin{document}

\begin{tikzpicture}
% Initialize tkz-2d and set the range of x and y values
\tkzInit[xmin=-4.1,xmax=5.2,ymin=-4.1,ymax=8]
\tkzClip

% Define two points using TikZ. Note TikZ coordinates can be given
% in polar form.
\coordinate (A) at (100:8);
\coordinate (B) at (50:8);

% Draw a circle. Note star form of \tkzPoint defines points but does
% not draw them.
\tkzPoint*(0,0){C} % center of circle
\tkzCircle(C,R)

% Define the points that are tangent to the circle where the tangent
% line passes through either A or B
\tkzTgtFromP(C,C,R)(A){D}{E}
\tkzTgtFromP(C,C,R)(B){F}{G}

% Compute the distance between A and D (the result is stored in
% \tkzmathLen)
\tkzMathLength(A,D)

% Fill and highlight the sector centered at A
\tkzFillSector*[color=blue!80!black,opacity=0.5](A,\tkzmathLen pt)(D,E)
\tkzArc*(A,A,D)(D,E)

% Fill and highlight the sector centered at B
\tkzMathLength(B,F)
\tkzFillSector*[color=red!80!black,opacity=0.5](B,\tkzmathLen pt)(F,G)
\tkzArc*(B,B,F)(F,G)

% Find the intersection of the two arcs
\tkzInterCC(A,A,D)(B,B,F){H}{I}

% Draw the intersection
\tkzDrawPoint[pos=below left](I)
\end{tikzpicture}

\end{document}

% LocalWords:  TikZ tkz xmin xmax ymin ymax LocalWords 