Solver Calculate area of a sector

Source code of 'Calculate area of a sector'

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==section input
The angle at center of arc is *[input angle=30] degrees and radius of circle is *[input radius=20]. Find the area of sector.

==section solution
perl
if($angle<0 || $angle>360)
{
if($radius<0)
{
print "Enter the value of radius greater than zero and angles between 0 to 360 degrees to calculate area of sector in a circle.";
}
if($radius>0)
{
print " Please enter the value between 0 to 360 degrees to calculate area of sector in a circle.";
}
}
elsif ($radius<0)
{print "Enter the value of radius greater than zero to calculate area of sector in a circle.";
}
else
{
my $c=$angle*2*3.14159265/360;
my $area=$angle*3.14159265*$radius*$radius/360;
my $area1=$c*$radius*$radius/2;

print "
<A HREF=Central_angle.wikipedia>Angle at center described by an Arc</A>
The angle described by an arc at center is $angle degrees.

<A HREF=Geometry-Arcs-and-Chords.lesson>Arc of a circle</A>
The Area of Sector is given by formula 
{{{Area= pi*radius*radius*central angle/360}}}
{{{Area = pi*$radius*$radius*$angle/360=$area}}}

Conversion of angles from <b><A HREF=Degree_%28angle%29.wikipedia>degrees</A></b> to <b><A HREF=Radian.wikipedia>radian</A></b>:
The relation between two units of angle measurement is :
 
2*{{{pi}}} rad = 360 degrees

Area of Sector when angle in radians is,
{{{Area=central angle*radius*radius/2}}}
{{{Area=$c*$radius*$radius/2=$area1}}}

Hence, For a circle of radius $radius Area of sector is $area when it subtends an angle of $angle degrees at center.

For more on this topic, See the lessons on <A HREF=http://www.algebra.com/algebra/homework/Circles/Lessons.html>Circles and their properties</A>

Some relevant <A HREF=http://www.algebra.com/algebra/homework/Circles/InDepth.html>wikipedia</A> articles for the topic.

";
}

==section output
area,

==section check
 angle=100 radius=6 area=31.04159265