This paper aims to develop a general equation suitable for the process of estimating the overlapping (intersection) area between any two symmetric (homogeneous) circles. The sensor node can be represented by a circle centers on the node position and its radius represents the coverage or the sensing range. Many experiments are done to develop a suitable representative equation. The first step is performed by applying Monte Carlo simulation to estimate the circles areas and comparing their estimated areas with the mathematically calculated areas. The results show that the simulation results are too close to the mathematical calculations. Then Monte Carlo is applied to estimate the overlapping area between two intersected circles. The estimated results are used to develop a general regression equation which can be used easily in estimating any overlapping area between any two similar circles depending on the circle radius and the distance between the two centers. The experiments are conducted on the two not similar (heterogeneous) circles. The results show difficulties in developing one general equation to represent all the cases. This study helps in developing a suitable equation for each set of two not similar circles.
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