Connectivity is a fundament question when wireless Ad Hoc sensor networks is designed and simulated.Under the idealization and shadow fading environments

with the standard assumption of nodes uniformly distributed

the exact formulas of connectivity are acquired according to networks covered methods in wireless Ad Hoc sensor networks.By using these formulas

minimum node number n

min

and minimum nodes covered radius R

min

where network is connected are made.All are help for network design and simulation in reality engineering application.