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The performance of wireless multihop networks (WSNs) deployed in a finite region is affected by environmental phenomena such as shadowing and boundary effects. The shadowing effect affects the actual sensing range of sensor nodes due to varying amounts of signal path-losses, whereas the useful coverage area of a sensor node gets affected by its location within the deployed region-known as boundary effects. The existing analytical solutions for large networks are not conformable for finite networks as boundary effects distort the linearities between the network variables and cause non-linear behaviour of network dynamics. Earlier works have provided the analytical solution for the performance metrics of (WSNs) by considering either shadowing or boundary effects separately but considering these effects together is still non-existent. Therefore, it is imperative to study the impact of boundary and shadowing effects simultaneously while estimating the performance of a WMN as it indicates – how well the network monitors a given region? This work provides an analytical solution by considering boundary and shadowing effects simultaneously to compute the κ -coverage probability of a random location within a circular region. The proposed analytical solution is verified through exhaustive simulations with a root mean square error of less than or equal to 0.0189 between the analytical and simulation outcomes. This work has also analysed the influence of different network parameters on the network κ -coverage performance and concludes that the sensing range and the number of sensor nodes have positive, whereas the standard deviation of the shadowing effect has a negative impact on the coverage. [ABSTRACT FROM AUTHOR]