Explanation:
- When it comes to network categories, there are different classifications based on the geographical area they cover.
- The four main categories of networks are MAN (Metropolitan Area Network), PAN (Personal Area Network), LAN (Local Area Network), and WAN (Wide Area Network).
- Among these categories, the PAN (Personal Area Network) has the smallest geographic area.
- Let's explore each of these categories in detail to understand why PAN has the smallest area.

1. PAN (Personal Area Network):
- A PAN is the smallest type of network that covers a very limited area, typically within a person's workspace or personal devices.
- It is designed for personal use and communication between personal devices like smartphones, tablets, laptops, and wearable devices.
- PANs can be established using technologies like Bluetooth and Wi-Fi.
- The range of a PAN is usually within a few meters, making it the category with the smallest geographic area.

2. LAN (Local Area Network):
- A LAN covers a larger area compared to a PAN and is commonly used within homes, offices, or a single building.
- It connects multiple devices within the same location, allowing them to share resources like printers, files, and internet access.
- LANs are often set up using Ethernet cables or wireless connections.
- The range of a LAN can extend up to a few kilometers, depending on the infrastructure and networking equipment used.

3. MAN (Metropolitan Area Network):
- A MAN covers a larger geographical area compared to a LAN and is typically used to connect multiple LANs within a city or metropolitan area.
- It provides high-speed connectivity and allows organizations to interconnect their local networks.
- MANs are usually established using fiber optic cables or wireless connections.
- The range of a MAN can extend up to tens of kilometers, covering a significant portion of a city.

4. WAN (Wide Area Network):
- A WAN is the largest type of network that covers a wide geographical area, such as multiple cities, countries, or even continents.
- It connects multiple MANs or LANs across different locations and is commonly used by large organizations or internet service providers.
- WANs utilize various technologies like leased lines, satellites, or internet connections to establish connectivity.
- The range of a WAN can extend across thousands or even millions of kilometers.

Conclusion:
- Among the given options, the PAN (Personal Area Network) has the smallest geographic area, covering only a few meters within a person's workspace or personal devices.
- This makes PAN the category with the smallest coverage among MAN, PAN, LAN, and WAN.