Which device manages the distribution of internet connections within a LAN?

The router is the device that manages the distribution of internet connections within a Local Area Network (LAN). It serves as a gateway between the local network and external networks, such as the internet, facilitating communication and data transfer. The router assigns IP addresses to devices within the LAN and directs incoming and outgoing traffic, ensuring that data packets reach their intended destinations.

Additionally, routers can provide various other functions, such as network address translation (NAT), firewall security features, and even DHCP services to dynamically allocate IP addresses. While other devices in the options have specific functions—such as a Wireless Access Point (WAP) which provides wireless connectivity, a file server which hosts files for access by network users, and Network Attached Storage (NAS) which provides centralized file storage for users on the network—they do not primarily manage the internet connection or the routing of data within the LAN. Thus, the router is the essential device for internet distribution in this context.