import json
from abc import abstractmethod
from abc import ABC
import math


class Shape(ABC):
    color = ''

    @abstractmethod
    def area(self):
        pass

    @abstractmethod
    def perimetr(self):
        pass

    @staticmethod
    def create_shape(json):
        if "type" in json:
            shape_type = json["type"]
            if shape_type == "circle":
                return Circle(json["radius"])
            elif shape_type == "square":
                return Square(json["side"])
            elif shape_type == "rectangle":
                return Rectangle(json["width"], json["height"])
            else:
                raise TypeError(f'Неизвестная фигура {shape_type}')

    @staticmethod
    def convert_to_json(obj):
        if isinstance(obj, Shape):
            result = obj.__dict__
            result["type"] = obj.__class__.__name__
        return json.dumps(result)


class Rectangle(Shape):
    def __init__(self, width, height):
        self.width = width
        self.height = height

    def area(self):
        return self.width * self.height

    def perimetr(self):
        return (self.width + self.height) * 2


class Square(Shape):
    def __init__(self, side):
        self.side = side

    def area(self):
        return self.side ** 2

    def perimetr(self):
        return 4 * self.side


class Circle(Shape):
    def __init__(self, radius):
        self.radius = radius

    def area(self):
        return math.pi * (self.radius ** 2)

    def perimetr(self):
        return 2 * math.pi * self.radius


r1 = Rectangle(10, 20)
s1 = Square(22)
c1 = Circle(10)