Re: polygonal area on a sphere





luca.beltramo@xxxxxxxxx wrote:
If your polygon is small enough to allow you to ignore the Earth's
curvature, you can use the following formula. You need to convert
lat/lon to x-y coordinates. If the polygon lies within one UTM region,
you can just convert lat/lon to UTM and use the UTM coordinates.

area = sum_{i=0}^{n-1} ((x_i + x_{i+1}) (y_{i+1} - y_i)) / 2
where point 0 = point N.

Is there a general formula in case of the area is between two UTM
regions?


No. If you need to work between two regions then use lat/lon degree values instead of UTM values. If the point is near to another region you can often use UTM values for one region by extending the values into the second region. Even maps show these extensions with secondary markers when the region switches in a populated area.
--
_ _ Dale DePriest
/`) _ // http://users.cwnet.com/dalede
o/_/ (_(_X_(` For GPS and GPS/PDAs
.



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