Final answer:
An office that connects devices through a central access point without cables uses a Wireless Local Area Network (WLAN).
Step-by-step explanation:
The network type used by an office that connects network devices and printers through a central access point without the use of cabling is a Wireless Local Area Network (WLAN). A WLAN allows devices to connect and communicate wirelessly within a local area such as an office or building. This type of network is particularly useful for providing connectivity without the need for physical cables, which can be costly and less flexible.