A router is a device that allows two or more different network segments to communicate with each other normally wired to the router.
A Wireless Router is a router that supports typically one or two wireless extensions to one of the wired network segments they are supporting.
There are some wireless routers that also offer completely separate wireless (WiFi) networks that are not connected directly to any of their wired networks.
1) A basic home wireless router may typically offer four Ethernet connections plus a wireless network (WiFi on 2.4 GHz) all connected as a single network segment or subnet. This forms a private subnet. The router provides connection from this private subnet to another network – the Internet.
2) Advanced home routers typically offer four Ethernet ports plus two wireless networks (WiFi on 2.4 GHz and 5 GHz) all connected to a single private subnet. In addition, they may also provide one or two guest WiFi networks. Both the private subnet and the guest WiFi can access the Internet through the router; however, the guest and private subnets are separate and there is no connection provided by the router between the two.
I hope this helps.
A wireless router is a device that performs the functions of a router and also includes the functions of a wireless access point. It is used to provide access to the Internet or a private computer network.
A piece of hardware that can route wireless signals. Something on the network that provides a WiFi connection point.