Now it's your turn. Define a Circle class. A circle is created similarly to a square, specifying center and radius, as in:

Circle((2,3),4) 

(a circle of radius 4 with center in (2, 3)).

For a circle c, you should implement the following methods:

• c.contains_point(p): returns True/False according to whether the circle contains a given point p, specified as a pair (x, y) of coordinates, as in p = (2, 3).
• c.contains_square(s): returns True/False according to whether the square s is completely contained in the circle c.
• contains(x): returns True/False according to whether the circle contains the argument x, which can be either a square a point, or another Circle.

A little geometry reminder:

• A circle contains a square iff it contains all four corners of the square.
• A circle 1 contains a circle 2
• if the distance between the centers of 1 and 2 plus the radius of 2 is smaller than the radius of 1

here is my code so far import math # In case you need it.

class Circle(object):

# YOUR CODE HERE

def __init__(self, center, radius):

assert isinstance(center, tuple)

assert len(center) == 2

self.center = center

self.radius = radius

def radius(self):

return self.radius

def px(self):

"""Returns the coordinates of the positive x axis."""

(x, y) = self.center

return x + self.radius

def py(self):

"""Returns the coordinates of the positive y axis."""

(x, y) = self.center

return y + self.radius

def nx(self):

"""Returns the coordinates of the nagative x axis."""

(x, y) = self.center

return x - self.radius

def ny(self):

"""Returns the coordinates of the negative y axis."""

(x, y) = self.center

return y - self.radius

def contains_point(self, point):

"""Returns whether the point is in the square."""

assert isinstance(point, tuple)

assert len(point) == 2

x, y = point

cx, cy = self.center