The coverage area of a cellular system is $2000$ sq km with each cell having a radius of $5$ sq km$.$ and thereare a total of $1000$ radio channels available for handling the traffic.a$)$ Calculate the system capacity for $7-$cell reuse.b$)$ If N $=4,$ how many times the cluster has to be replicated in order to approximately cover theentire cellular area? Calculate the system capacity for the given case.c$)$ Does decreasing the cluster size increase the system capacity? Explain.