A router connects two different networks.
WAN
LAN can be connected by routers . A router can be used to connect to LAN's .a LAN to a WAN and LAN to Internet.
LAN users get access to internet or can communicate with others LAN connected to WAN.
unless that lan is connected to a router that is connected to a modem that can access internet... it would make no sense
Its LAN
It's a definition but, such network belongs to LAN.
depends on port and switch or if address s like 192..168.255 then 253 system can be connected to LAN
LAN
Network topology is the manner in which the physical components of a LAN are connected together. Network topology can be either physical or logical.
Doesn't matter if your connected to a LAN or not. The MAC address is hard coded into the NIC and does not change unless software on the computer requires that it changes.
If such router is connected to that lan either thought wireless or wire, than the answer is yes. Any router can do that. If the router is connected to the lan, no router can do that.
That would require your fridge to be connected to a LAN and would depend on the DHCP server for that LAN.
LAN worlds are available only to people who are on your local network. They have to actually be connected to your network, for the LAN IP to make sense.