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Contents
Area of Polygon
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Area
of Polygon
If
the polygon is a right-angled triangle, square or rectangle, its area can be
calculated using the relevant distances between vertices.
For
all other n-sided polygons, the following formula is used:
 For
the quadrilateral ABCD, the area is
  It
is evaluated by:
1/2
| (x1y2 + x2y3 + x3y4
+ x4y1) - (y1x2 + y2x3
+ y3x4 + y4x1)|
Important
points to consider:
1.
The formula can be used for any n-sided polygon.
2.
The first set of coordinates is repeated at the end.
3.
The coordinates must be arranged in a clockwise or anticlockwise direction.
For the above example, it can be in the arrangement ABCDA or BADCB but not
ACBDA.
4.
If the coordinates are arranged in a clockwise manner, the value within the
modulus sign is negative.
5.
If the coordinates are arranged in a counterclockwise manner, the value within
the modulus sign is positive.
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