Key points are not available for this paper at this time.
The relevance of this research lies in the fact that the total area of large territories can be determined as a simple sum of horizontal areas, but it is more practical to assess them using aerial photography tools (planes, unmanned aerial vehicles, drones, etc.). It is obvious that the use of different methods for determining areas does not allow to achieve the same accuracy, since these methods describe land plots in different ways. Even taking into account the relief as the average level of the area only partially reflects its features. Because of this, there is a need to study errors in the determination of areas by different methods, because differences in the values of areas can lead to different amounts of cash receipts. This, in turn, creates a conflict of interest and can lead to litigation, which, in our opinion, emphasizes the relevance of the article. The methods of calculating the area of land plots were studied: directly on the physical surface of the ellipsoid, the horizontal projection of the land plot and the physical surface of the land plots. Practical implementation confirmed the theoretical conclusions. The performed calculations prove that the results of calculating the physical surface areas of land plots using different coordinate systems practically do not differ. The reason for these discrepancies is that all the vertices of the polygon lie in the same plane, and when dividing this polygon (land plot) into triangles, the different slope of the earth's surface in different places of the land plot is taken into account.
Rii et al. (Fri,) studied this question.