Solver internal angle of polygon

Source code of 'internal angle of polygon'

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==section input
The interior angle of a regular polygon for sides *[input n=5] is.

==section solution
perl
if($n<=0)
{
print " Please enter the value greater than 0 to calculate interior angle of polygon";
}
else{
my $angle=(180*($n-2))/$n;
my $angle1= $angle*2*3.14159265/360;

print "
<A HREF=interior-angles-of-polygons.lesson> Interior angle of a Regular Polygon</A>

The interior angles of any <A HREF=http://www.algebra.com/algebra/homework/Rectangles/Polygon.wikipedia>Polygon</A> always add up to a constant value, which depends only on the number of sides. For example the interior angles of a pentagon always add up to 540� no matter if it regular or irregular, convex or concave, or what size and shape it is. The sum of the interior angles of a polygon is given by the formula

{{{Sum=180*(n-2)}}}

where n  is the number of sides

For a regular polygon, the total described above is spread evenly among all the interior angles, since they all have the same values.Hence all interior angles will be equal.

Therefore,
{{{Each Interior Angle=((180*(n-2))/n)}}}

{{{Each Interior Angle=(180*($n-2))/$n=$angle}}}

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

The Interior angle in Radians,

{{{Each Interior Angle=(((180*(n-2))/n)*2*pi/360)}}}

{{{Each Interior Angle=((180*($n-2))/$n)*2*pi/360=$angle1}}}

Hence, The interior angle of a Polygon is $angle degrees and $angle1 radians.

For more on this topic, See the lessons on <A HREF=http://www.algebra.com/algebra/homework/Polygons/Geometry-Area-of-Regular-Polygons.lesson> Geometry Area of Regular Polygon</A>

Some more is on <A HREF=http://www.algebra.com/algebra/homework/Polygons/Geometry-Special-Quadrilaterals.lesson>Geometry Special Quadrilaterals</A>

";
}

==section output
angle,

==section check
 n=12 angle=150