Which term describes a group of computers and devices that share resources without a router within a small geographical area?

The term that describes a group of computers and devices sharing resources without the need for a router within a small geographical area is a Local Area Network (LAN). A LAN typically connects computers and devices within a limited physical area, such as a home, office, or building. This network setup allows for high-speed communication and resource sharing, such as files, printers, and internet access.

In contrast, a Wide Area Network (WAN) covers a much broader geographical area, spanning cities or countries, and often relies on routers to interconnect multiple LANs. A Storage Area Network (SAN) is specifically designed for attaching shared storage devices to multiple servers, focusing on data storage rather than general computing tasks. A Personal Area Network (PAN) typically involves very short-range connections among personal devices, such as linking a smartphone to a laptop or headset, but it is more limited in scope compared to a LAN.