
    Calculate the total perimeter distance a delivery vehicle must cover to service the outermost boundary of its circular coverage zone from a distribution center, given the maximum radius of its service area. This boundary distance is crucial for route optimization and ensuring complete coverage of the delivery territory.
    

    
def circle_circumference(r):
    """
    Calculate the total perimeter distance a delivery vehicle must cover to service the outermost boundary of its circular coverage zone from a distribution center, given the maximum radius of its service area. This boundary distance is crucial for route optimization and ensuring complete coverage of the delivery territory.
    

    """
def circle_circumference(r):
    """
    Calculate the total perimeter distance a delivery vehicle must cover to service the outermost boundary of its circular coverage zone from a distribution center, given the maximum radius of its service area. This boundary distance is crucial for route optimization and ensuring complete coverage of the delivery territory.
    

    """
    perimeter = 2 * 3.1415 * r
    return perimeter