Final answer:
The purpose of 'r' in the patio design is to represent the radius of a circular element.
Step-by-step explanation:
The purpose of 'r' in the patio design is to represent the radius of a circular element.
In the given dimensions of 16 feet, 14 feet, and r = 6 feet, the length and width of the patio are specified, and 'r' represents the radius of a circular element within the design.
To better understand the concept, consider if the patio design included a circular fountain or seating area. The radius, 'r', would determine the size and scale of this circular element within the overall design of the patio.