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Area calculations

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== Area of Triangle ==
== Area of Triangle ==
<p>The area of a triangle made up of three vertices '''A(x1,y1,z1), B(x2,y2,z2) and C(x3,y3,z3)''' can be represented <br>by the vector-cross-product of vectors along two sides of the triangle sharing a common vertex. <br>For the above mentioned triangle we have three sides as '''AB''', '''BC''' and '''CA''', the area of triangle is given by:<br>
<p>The area of a triangle made up of three vertices '''A(x1,y1,z1), B(x2,y2,z2) and C(x3,y3,z3)''' can be represented <br>by the vector-cross-product of vectors along two sides of the triangle sharing a common vertex. <br>For the above mentioned triangle we have three sides as '''AB''', '''BC''' and '''CA''', the area of triangle is given by:<br>

Latest revision as of 12:31, 19 December 2008

Area of Triangle

The area of a triangle made up of three vertices A(x1,y1,z1), B(x2,y2,z2) and C(x3,y3,z3) can be represented
by the vector-cross-product of vectors along two sides of the triangle sharing a common vertex.
For the above mentioned triangle we have three sides as AB, BC and CA, the area of triangle is given by:


Area\Delta ABC = {1 \over 2}\left| {AB \times AC} \right|
AB = Vector from vertex A to vertex B.
AC = Vector from vertex A to vertex C.

Area of Polygonal Surface

A polygon can be divided into triangles sharing a common vertex of the polygon. The total area of the polygon
can be approximated by sum of all triangle-areas it is made up of.


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