Wireless sensor networks have been the major stake holders in almost all types of wireless communication standards and applications in the recent decade. Their ability to be deployed almost anywhere on the globe make them indispensable. However, in the research of the Wireless sensor networks (WSN), trouble in coverage is one of the fundamental problems. Coverage computation in a way finds a major role to find out the energetic amount of sensor nodes required for sensing the monitoring region. Initially the investigator deals the resolving process of maximum flawless ratio of coverage for three-sensor nodes. Then by the resultant of work, grants the solution method of the estimated value of quality of coverage and also provides the method in elaborate manner for finding the least amount of sensor nodes for effective coverage of monitoring area. Finally, the technique to find out the redundancy for W communicative nodes has been provided. All the above issues have been mathematically worked out to justify the coverage research issue.