circle$\_$bound

Define a function named circle$\_$bound with one parameter of type Rectangle. This function

must return a Circle $($defined in the provided data.py file$)$ object that represents a "bounding

circle" for the provided rectangle. Such a bounding circle should be the smallest circle that

encloses the rectangle; the circle should be centered at the center of the rectangle with radius

equal to the distance from the center to one of the corner points.Such bounding circles $($or bounding shapes in general, and typically in three$-$dimensions$)$ are used to reduce the computational cost required to check for potential collisions in $3$d

environments including use in robot route planning and navigation for automated vehicles# Representation of a circle.

class Circle:

# Initialize a new Circle object.

# input: center as a Point

# input: radius as a float

def $($self$,$ center: Point, radius: float$)$:

self.center $=$ center

self.radius $=$ radius

# Provide a developer$-$friendly string representation of the object.

# input: Circle for which a string representation is desired.

# output: string representation

def repr $($self$)->$str:

return 'Circle$(\{\},\{\})\text{'}.$format$(*$args: self.center, self.radius$)$

# Compare the Circle object with another value to determine equality

# input: Circle against which to compare

# input: Another value to compare to the Circle

# output: boolean indicating equality

def eq $($self other$)->$ bool:

return $($other is self or

type$($other$)==$ Circle and

self.center $=$ other. center and

math.isclose$($self$.$radius, other.radius$))$