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\begin{document}
Copyright (c) 2004, Philippe Ivaldi. Le contenu de ce document peut \^{e}tre
redistribu\'{e} sous les conditions \'{e}nonc\'{e}es dans la Licence pour
Documents Libres version 1.1 ou utl\'{e}rieure.\newline
%%%%%%%%%%b{gedeonInfo}%%%%%%%%%
%%--Document N° 132623248144217--
%%--Mesure d\'un angle en radians--
%%%%%%%%%%e{gedeonInfo}%%%%%%%%%
%

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\begin{center}%
%TCIMACRO{\FRAME{dtbpFU}{7.1407in}{2.6642in}{0pt}{\Qcb{L'enroulement de l'axe
%des r\'{e}els sur le cercle trigonom\'{e}trique permet de d\'{e}finir
%naturellement la mesure d'un angle en \textbf{radians}.}}{}{enroule.eps}%
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\\
L'enroulement de l'axe des r\'{e}els sur le cercle trigonom\'{e}trique permet
de d\'{e}finir naturellement la mesure d'un angle en \textbf{radians}.
\end{center}
%EndExpansion



\end{center}

Compl\'{e}ter le tableau ci-dessous en utilisant les figures ci-dessus:

\bigskip

\hspace*{-1.5cm}%
\begin{tabular}
[c]{cc|c|c|c|c|}\cline{3-6}
&  & Mesure en radians=$\alpha%
%TCIMACRO{\unit{rad}}%
%BeginExpansion
\operatorname{rad}%
%EndExpansion
$ & Longeur de l'arc & Mesure en degr\'{e}s=$\alpha%
%TCIMACRO{\unit{\U{b0}}}%
%BeginExpansion
\operatorname{{{}^\circ}}%
%EndExpansion
$ & $\dfrac{\alpha%
%TCIMACRO{\unit{\U{b0}}}%
%BeginExpansion
\operatorname{{{}^\circ}}%
%EndExpansion
}{\alpha%
%TCIMACRO{\unit{rad}}%
%BeginExpansion
\operatorname{rad}%
%EndExpansion
}$\\\cline{2-6}\cline{3-6}%
L1 & \multicolumn{1}{|c|}{$\left(  \overrightarrow{OI},\overrightarrow
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%TCIMACRO{\TeXButton{Aité}{{\setlength{\fboxrule}{0pt}
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%}}%
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\setlength{\fboxsep}{0pt}
\fbox{\rule[-4mm]{0pt}{10mm}}}
%EndExpansion
} &
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
\\\cline{2-6}%
L2 & \multicolumn{1}{|c|}{$\left(  \overrightarrow{OI},\overrightarrow
{OJ}\right)  $%
%TCIMACRO{\TeXButton{Aité}{{\setlength{\fboxrule}{0pt}
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} &
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
\\\cline{2-6}%
L3 & \multicolumn{1}{|c|}{$\left(  \overrightarrow{OI},\overrightarrow
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} &
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
\\\cline{2-6}%
L4 & \multicolumn{1}{|c|}{$\left(  \overrightarrow{OI},\overrightarrow
{OL}\right)  $%
%TCIMACRO{\TeXButton{Aité}{{\setlength{\fboxrule}{0pt}
%\setlength{\fboxsep}{0pt}
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{\setlength{\fboxrule}{0pt}
\setlength{\fboxsep}{0pt}
\fbox{\rule[-4mm]{0pt}{10mm}}}
%EndExpansion
} &
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
\\\cline{2-6}%
L5 & \multicolumn{1}{|c|}{$\left(  \overrightarrow{OI},\overrightarrow
{OM}\right)  $%
%TCIMACRO{\TeXButton{Aité}{{\setlength{\fboxrule}{0pt}
%\setlength{\fboxsep}{0pt}
%\fbox{\rule[-4mm]{0pt}{10mm}}}
%}}%
%BeginExpansion
{\setlength{\fboxrule}{0pt}
\setlength{\fboxsep}{0pt}
\fbox{\rule[-4mm]{0pt}{10mm}}}
%EndExpansion
} &
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
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\\\cline{2-6}%
L6 & \multicolumn{1}{|c|}{$\left(  \overrightarrow{OI},\overrightarrow
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%TCIMACRO{\TeXButton{Aité}{{\setlength{\fboxrule}{0pt}
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} &
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
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ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
ou%
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
%EndExpansion
&
%TCIMACRO{\TeXButton{Complèter}{\makebox[1.5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1.5cm][l]{\dotfill}\;%
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\\\cline{2-6}%
\end{tabular}


\bigskip

{\Large Calculs:}%
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Ligne1:\dotfill

Ligne2:\dotfill

\dotfill

Ligne3:\dotfill

\dotfill

Ligne4:\dotfill

\dotfill

Ligne5:\dotfill

\dotfill

Ligne6:\dotfill

\dotfill%

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%BeginExpansion
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\bigskip

{\LARGE Formules de conversion degr\'{e}s/radians:}

\bigskip%

\[%
\begin{tabular}
[c]{|ccc|}\hline
Radians &  & Degr\'{e}s\\
${\LARGE \alpha}$%
%TCIMACRO{\TeXButton{Aité}{{\setlength{\fboxrule}{0pt}
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& = &
%TCIMACRO{\TeXButton{Blanc}{\makebox[2cm][l]{}\;}}%
%BeginExpansion
\makebox[2cm][l]{}\;%
%EndExpansion
\\%
%TCIMACRO{\TeXButton{Blanc}{\makebox[2cm][l]{}\;}}%
%BeginExpansion
\makebox[2cm][l]{}\;%
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& = &
%TCIMACRO{\TeXButton{Aité}{{\setlength{\fboxrule}{0pt}
%\setlength{\fboxsep}{0pt}
%\fbox{\rule[-6mm]{0pt}{10mm}}}
%}}%
%BeginExpansion
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${\LARGE \alpha}$\\\hline
\end{tabular}
\]


\textbf{Exemples:}%
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%BeginExpansion
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\begin{itemize}
\item convertir en radians:

$30%
%TCIMACRO{\unit{\U{b0}}}%
%BeginExpansion
\operatorname{{{}^\circ}}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;} }%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;
%EndExpansion
; $60%
%TCIMACRO{\unit{\U{b0}}}%
%BeginExpansion
\operatorname{{{}^\circ}}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;%
%EndExpansion


$90%
%TCIMACRO{\unit{\U{b0}}}%
%BeginExpansion
\operatorname{{{}^\circ}}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;} }%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;
%EndExpansion
; $120%
%TCIMACRO{\unit{\U{b0}}}%
%BeginExpansion
\operatorname{{{}^\circ}}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;%
%EndExpansion


$180%
%TCIMACRO{\unit{\U{b0}}}%
%BeginExpansion
\operatorname{{{}^\circ}}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;} }%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;
%EndExpansion
; $360%
%TCIMACRO{\unit{\U{b0}}}%
%BeginExpansion
\operatorname{{{}^\circ}}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;%
%EndExpansion


\item Convertir en degr\'{e}s:

$\dfrac{\pi}{12}%
%TCIMACRO{\unit{rad}}%
%BeginExpansion
\operatorname{rad}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;} }%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;
%EndExpansion
; $\dfrac{\pi}{4}%
%TCIMACRO{\unit{rad}}%
%BeginExpansion
\operatorname{rad}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;%
%EndExpansion


$\dfrac{7\pi}{6}%
%TCIMACRO{\unit{rad}}%
%BeginExpansion
\operatorname{rad}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;} }%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;
%EndExpansion
; $\dfrac{3\pi}{2}%
%TCIMACRO{\unit{rad}}%
%BeginExpansion
\operatorname{rad}%
%EndExpansion
=$%
%TCIMACRO{\TeXButton{Complèter}{\makebox[5cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[5cm][l]{\dotfill}\;%
%EndExpansion


\item Marquer les angles pr\'{e}c\'{e}dant sur le cercle ci-dessous:\medskip%
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%EndExpansion

\end{itemize}%

%TCIMACRO{\TeXButton{endEspaceLigne}{\renewcommand{\baselinestretch}{1}%
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{\LARGE Formules de longueur d'un arc et d'aire d'un secteur:}

\bigskip%

%TCIMACRO{\FRAME{itbpF}{58.7997pt}{81.8996pt}{25.1999pt}{}{}{Figure}%
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\raisebox{-25.1999pt}{\includegraphics[
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{Include/i3fgnmaj.eps}%
}%
%EndExpansion
$\hspace*{1cm}\fbox{La longueur d'un arc de cercle de rayon $R$ et d'angle
$\alpha%
%TCIMACRO{\unit{rad}}%
%BeginExpansion
\operatorname{rad}%
%EndExpansion
$ ($2\pi\leq\alpha\leq0$) est
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion%
%TCIMACRO{\TeXButton{Aité}{{\setlength{\fboxrule}{0pt}
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%\fbox{\rule[-4mm]{0pt}{10mm}}}
%}}%
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{\setlength{\fboxrule}{0pt}
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\fbox{\rule[-4mm]{0pt}{10mm}}}
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}$%

%TCIMACRO{\FRAME{itbpF}{58.7997pt}{81.8996pt}{25.1999pt}{}{}{Figure}%
%{\special{ language "Scientific Word";  type "GRAPHIC";
%maintain-aspect-ratio TRUE;  display "USEDEF";  valid_file "T";
%width 58.7997pt;  height 81.8996pt;  depth 25.1999pt;
%original-width 54.1797pt;  original-height 76.2596pt;  cropleft "0";
%croptop "1";  cropright "1";  cropbottom "0";
%tempfilename 'Include/hul6us06.wmf';tempfile-properties "XPR";}}}%
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\raisebox{-25.1999pt}{\includegraphics[
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{Include/i3fgnnal.eps}%
}%
%EndExpansion
$\hspace*{1cm}\fbox{L'aire d'un secteur angulaire de rayon $R$ et d'angle
$\alpha%
%TCIMACRO{\unit{rad}}%
%BeginExpansion
\operatorname{rad}%
%EndExpansion
$ ($2\pi\leq\alpha\leq0$) est
%TCIMACRO{\TeXButton{Complèter}{\makebox[1cm][l]{\dotfill}\;}}%
%BeginExpansion
\makebox[1cm][l]{\dotfill}\;%
%EndExpansion%
%TCIMACRO{\TeXButton{Aité}{{\setlength{\fboxrule}{0pt}
%\setlength{\fboxsep}{0pt}
%\fbox{\rule[-4mm]{0pt}{10mm}}}
%}}%
%BeginExpansion
{\setlength{\fboxrule}{0pt}
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}$


\end{document}