The document describes an Adaptive Sensor Sensing Range (ASSR) technique proposed to maximize the lifetime of a Wireless Sensor Network (WSN). The ASSR technique allows sensors to vary their sensing range to minimize energy consumption while ensuring all targets are monitored. It considers a WSN with sensors randomly deployed that can modify their sensing range to save power. The objective of ASSR is to find the optimal sensing range for each sensor to cover all targets, maximizing monitoring time and eliminating duplicate monitoring. Simulation results show ASSR can improve network lifetime by 20% for small networks and 8% for large networks compared to other recent variable sensing range techniques.