Final answer:
The respiratory system is not a part of the circulatory system; instead, it works closely with it to ensure gas exchange, while the circulatory system transports materials throughout the body.
Step-by-step explanation:
The component that is not an independent system that is part of the circulatory system is the respiratory system. The circulatory system, which includes the heart, blood vessels, and blood, is primarily responsible for the transport of materials throughout the body, including oxygen to cells and waste away from them. In contrast, the respiratory system is in charge of gas exchange, the urinary system handles the removal of waste and fluid regulation, and the vascular system refers to the blood vessels component of the circulatory system itself.