Question

(Geometry: n-sided regular polygon) An n-sided regular polygon’s sides all have the same length and all of its angles have the same degree (i.e., the polygon is both equilateral and equiangular). Design a class named RegularPolygon that contains:

■ A private int data field named n that defines the number of sides in the polygon. ■ A private float data field named side that stores the length of the side.

■ A private float data field named x that defines the x-coordinate of the center of the polygon with default value 0. 238 Chapter 7

Objects and Classes

■ A private float data field named y that defines the y-coordinate of the center of the polygon with default value 0.

■ A constructor that creates a regular polygon with the specified n (default 3),

side (default 1), x (default 0), and y (default 0).

■ The accessor and mutator methods for all data fields.

■ The method getPerimeter() that returns the perimeter of the polygon.

■ The method getArea() that returns the area of the polygon. The formula for

n * s 2 computing the area of a regular polygon is Area = .

p 4 * tan¢ ≤ n Draw the UML diagram for the class, and then implement the class. Write a test program that creates three RegularPolygon objects, created using RegularPolygon(), using RegularPolygon(6, 4) and RegularPolygon(10, 4, 5.6, 7.8). For each object, display its perimeter and area.

Answer 1

Answer:

UML Class Diagram:

​​​​​​

Python Program:

'''
Python program that computes area and perimeter of a n-sided regular polygon
'''

import math;

class RegularPolygon:

def __init__(self, n=3, side=1, x=0, y=0):
'''
Constructor that assigns values to private variables
'''
self.__n = n;
self.__side = side;
self.__x = x;
self.__y = y;

def getN(self):
'''
Accessor method for getting value of n
'''
return self.__n;

def getSide(self):
'''
Accessor method for getting value of side
'''
return self.__side;

def getX(self):
'''
Accessor method for getting value of x
'''
return self.__x;

def getY(self):
'''
Accessor method for getting value of y
'''
return self.__y;

def setN(self, n):
'''
Mutator method for setting value of n
'''
self.__n = n;

def setSide(self, side):
'''
Mutator method for setting value of side
'''
self.__side = side;

def setX(self, x):
'''
Mutator method for setting value of x
'''
self.__x = x;

def setY(self, y):
'''
Mutator method for setting value of y
'''
self.__y = y;

def getArea(self):
'''
Method that calculates and returns the area of polygon
'''
return (self.__n pow(self.__side,2)) / (4 math.tan(math.pi/self.__n));

def getPerimeter(self):
'''
Method that calculates and returns the perimeter of polygon
'''
return self.__n * self.__side;

#Test Program

#Polygon object 1
polygon1 = RegularPolygon();
print("\n\n Polygon 1: \n\n Area: " + str(polygon1.getArea()) + " \n Perimeter: " + str(polygon1.getPerimeter()) + " \n");

#Polygon object 2
polygon2 = RegularPolygon(6, 4);
print("\n\n Polygon 2: \n\n Area: " + str(polygon2.getArea()) + " \n Perimeter: " + str(polygon2.getPerimeter()) + " \n");

#Polygon object 3
polygon3 = RegularPolygon(10, 4, 5.6, 7.8);
print("\n\n Polygon 3: \n\n Area: " + str(polygon3.getArea()) + " \n Perimeter: " + str(polygon3.getPerimeter()) + " \n");

Sample Output:

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