\title{Borne}
\language{fr}
\range{-5..5}
\author{Odile Bénassy}
\email{obenassy@free.fr}
\computeanswer{no}
\format{html}
\precision{10000}

\integer{questionitem=random(1,2)}
\integer{a1=random(11..48)}
\integer{b1=random(21..70)}

\real{a=\a1/10}
\real{b=\b1/10}
\real{l=\a*2}

\real{d=32*\a}
\real{r=16*\a}
\real{h=16*\b}


\real{A= (pi * 0.5 * (\a)^2) + (\b * \l)}


\statement{

\if{debug iswordof \oefenv}{
<p>d = \d, h = \h
}

<p><center>


\draw{350,350}{
xrange -100,100
yrange -100,100

arc 0,\h - 80,\d+1,\d+1,0,180,black
line -\r,\h-80,\r,\h-80,black
line - \r, \h-80, -\r, -80,black
line \r, \h-80, \r, -80, black
line - \r,-80 , \r,-80 , black
darrow 0,\h-90,-\r,\h-90,8,black
darrow 0,\h-90,\r,\h-90,8,black
darrow \r+5,\h/2-70,\r+5,\h-80,8,black
darrow \r+5,\h/2-90,\r+5,-80,8,black

text black, -10,\h-95,normal,\l
text black, \r+5, \h/2-75, normal,\b 
 
fill 0,\h-79,red
fill 0,-70,lightyellow

text white, -15, \h - 65, huge, RN 777
line -\r,-76,-\r+4,-76,black
line -\r+4,-76,-\r+4,-80,black
line \r,-76,\r-4,-76,black
line \r-4,-76,\r-4,-80,black
}


</center> 
<p>Sachant que la partie supérieure de la façade de cette borne est un demi-disque de diamètre \l, quelle est son aire totale ?
<br><i>(calculer le résultat)</i>
}

\answer{Aire de la façade de la borne}{\A}{type=numeric}