roblem: Troblem: The Circle

Design a class which represents a Circle in the $($x$,$y$)$ coordinate plane. A Circle object is initialized with

three input arguments. The center of the circle specified as the first two inputs $($x$,$y$)$ and the radius of

the circle. By default, the circle will be centered at $(0,0)$ with a radius of $1($that would be implemented

in the constructor$).$ The constructor should be consistent with the following logic:

c $=$ Circle$(0,0,1)$ # circle centered at $(0,0)$ with r$=1$

c $=$ Circle$(1)$ # circle centered at $(1,0)$ with r$=1$

c $=$ Circle$(1,1)$ # circle centered at $(1,1)$ with r$=1$

c $=$ Circle$()$ # circle centered at $(0,0)$ with r$=1$

A negative radius input should raise a ValueError with a proper message.

Action Methods

The Circle class should provide proper getters$/$setters for the x and y coordinates of the center as well as

the radius $($getRadius$,$ getX, getY, setRadius, setX, setY$).$

Action Methods

The Circle class should implement the following member functions:

def calcArea$()$: return the area of the circle as float

def calcPerimeter$()$: return the perimeter of the circle as float

def isPointWithinCircle$($x$,$y$)$: returns True$/$False

Overloading Methods

def $\_\_$eq$\_\_($self$,$ other$)$ returns True if the circles have same x$,$ y$,$ r

def $\_\_$ne$\_\_($self$,$ other$)$

Stream I$/$O

The class must print out the following representation of itself when passed to the print

function: $($x$,$ y$,$ r$).$ For example, if c$1=$ Circle$(),$ then print$($c$1)$ would print the string

$(0,0,1)($without the double quotes$).$he Circle

Design a class which represents a Circle in the $($x$,$y$)$ coordinate plane. A Circle object is initialized with

three input arguments. The center of the circle specified as the first two inputs $($x$,$y$)$ and the radius of

the circle. By default, the circle will be centered at $(0,0)$ with a radius of $1($that would be implemented

in the constructor$).$ The constructor should be consistent with the following logic:

c $=$ Circle$(0,0,1)$ # circle centered at $(0,0)$ with r$=1$

c $=$ Circle$(1)$ # circle centered at $(1,0)$ with r$=1$

c $=$ Circle$(1,1)$ # circle centered at $(1,1)$ with r$=1$

c $=$ Circle$()$ # circle centered at $(0,0)$ with r$=1$

A negative radius input should raise a ValueError with a proper message.

Action Methods

The Circle class should provide proper getters$/$setters for the x and y coordinates of the center as well as

the radius $($getRadius$,$ getX, getY, setRadius, setX, setY$).$

Action Methods

The Circle class should implement the following member functions:

def calcArea$()$: return the area of the circle as float

def calcPerimeter$()$: return the perimeter of the circle as float

def isPointWithinCircle$($x$,$y$)$: returns True$/$False

Overloading Methods

def $\_\_$eq$\_\_($self$,$ other$)$ returns True if the circles have same x$,$ y$,$ r

def $\_\_$ne$\_\_($self$,$ other$)$

Stream I$/$O

The class must print out the following representation of itself when passed to the print

function: $($x$,$ y$,$ r$).$ For example, if c$1=$ Circle$(),$ then print$($c$1)$ would print the string

$(0,0,1)($without the double quotes$).$