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Example

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An example of the calculations is shown below. A solution has been provided for areas by coordinates and areas by triangles. For convenience the coordinates of point one have been reduced to zero.

By Coordinates

2A = [59.897*(-82.074)] + [15.017*(-51.683)] - [45.666*(15.017)] - [(-82.074)*(-31.276)]

2A =-4915.99 - 776.12 + 685.77 - 2566.95

|A| = 3786.65 square units

By Triangles

S1 =108.273
S2 = 99.614 A = [s(s-a)(s-b)(s-c)]
AT = 4,473,436.50 + 2,794,346.86
AT = 3786.68 square units

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The Department of Geomatics
Maintained by:  Nicole Jones
Date Created:  June 1998