Solver Arc Length

Source code of 'Arc Length'

This Solver (Arc Length) was created by by chillaks(0)

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==section input
The central angle subtended by Arc at center of circle is *[input angle=70] degrees and radius is *[input radius=10]. Find the arc length.

==section solution
perl
if($radius<=0 || $angle<=0 || $angle>360)
{
print " Please enter the value between 0 to 360 degrees to calculate area of sector in a circle.";
}
else
{
my $c=$angle*2*3.14159265/360;
my $len=$angle*3.14159265*$radius/180;
my $len1=$c*$radius;

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 Length of Arc is given by formula

{{{Length = pi*radius*central angle/180}}}

{{{Length = pi*$radius*$angle/180=$len}}}

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 Arc when angle in radians is,

{{{Length=Central angle*radius}}}

{{{Length=$c*$radius=$len1}}}

Hence, For a Circle of radius $radius the Arc length is $len 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
len,

==section check
 angle=100 radius=6 len=10.4719755