What term describes an organized weather system that rotates around a low-pressure area?

The term that describes an organized weather system that rotates around a low-pressure area is "tropical cyclone." Tropical cyclones are characterized by their organized circulation, strong winds, and low-pressure centers, which typically form over warm ocean waters. These systems can develop into hurricanes or typhoons depending on their location, and they are known for their potential to cause severe weather, including high winds and heavy rainfall.

In contrast, a storm is a more generalized term that can refer to various meteorological phenomena, including thunderstorms, blizzards, or cyclones, but it doesn't specifically imply the structured, rotating nature found in tropical cyclones. A cold front refers to the boundary where a cold air mass meets a warm air mass, which can lead to precipitation but does not inherently involve a low-pressure rotating system. Lastly, a high-pressure system describes an area where atmospheric pressure is higher than surrounding areas, which generally leads to calmer and clearer weather, opposite to the characteristics of a low-pressure system like a tropical cyclone.