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Wireless sensor networks have a wide variety of applications in both military and civil environment. Sensor nodes monitor some surrounding environmental phenomenon, process the data obtained and forward this data towards a base station located on the periphery of the sensor network. Base station(s) collect the data from the sensor nodes and transmit this data to some remote control station. Sensor network models considered by most researchers have a single static base station located on the periphery of the sensor network. Most sensors are equipped with non-rechargeable batteries that have limited lifetime. Following development of technology, the upper bound of coverage becoming more and more important. In this work, we develop closed-form expressions of the upper bound of coverage in energy-efficient wireless sensor networks.