Final answer:
In cases where an aircraft's Vmma with slats and ½ flaps exceeds 165 KCAS, the appropriate circling approach category to follow would be Category D minimums for safety and compliance with FAA regulations.
Step-by-step explanation:
If you are circling at heavy weights where Vmma (minimum maneuvering speed) with slats and ½ flaps is greater than 165 KCAS (knots calibrated airspeed), you would need to follow Category D minimums.
The circling approach categories are based on the aircraft's speed, and an aircraft with a Vmma greater than 165 KCAS fits into Category D according to the FAA's approach category definitions.
It's important to adhere to the correct category minimums for safety, as these provide the necessary clearance from obstacles during the maneuvering aspects of an approach and landing.