Area calculations
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== Area of Polygonal Surface == | == Area of Polygonal Surface == | ||
<p>A polygon can be divided into triangles sharing a common vertex of the polygon. The total area of the polygon <br>can be approximated by sum of all triangle-areas it is made up of.</p> | <p>A polygon can be divided into triangles sharing a common vertex of the polygon. The total area of the polygon <br>can be approximated by sum of all triangle-areas it is made up of.</p> | ||
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| + | ---- | ||
| + | <i> Return to [[Numerical methods | Numerical Methods]] </i> | ||
Revision as of 06:17, 3 October 2005
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:
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.
Return to Numerical Methods
