For math buffs only: Create a class Polar that represents the points on the plain as polar coordinates (radius and angle). Create an overloaded +operator for addition of two Polar quantities. “Adding” two points on the plain can be accomplished by adding their X coordinates and then adding their Y coordinates. This gives the X and Y coordinates of the “answer.” Thus you’ll need to convert two sets of polar coordinates to rectangular coordinates, add them, then convert the resulting rectangular representation back to polar.

SOLUTION:

#include "stdafx.h"

#include "iostream"

#include "math.h"

using namespace std;

/////////////////////////////////////////////////////////////////////////////////////////

class polar

{

private:

float radius, angle;

public:

polar( ) : radius(0.0), angle(0.0) {/*Empty Body*/}

polar(float r, float a) : radius(r), angle(a) {/*Empty Body*/}

void get_coordinates( )

{ cout << "Enter Radius & Angle of the Point: "; cin >> radius >> angle; }

void put_coordinates( ) const

{ cout << "(" << radius << "," << angle << "\xF8)"; }

polar operator + (polar) const;

};

//---------------------------------------------------------------------------------------polar polar::operator + (polar p2) const

{

float x, y;

polar temp;

x = radius*cos(angle) + p2.radius*cos(p2.angle);

y = radius*sin(angle) + p2.radius*sin(p2.angle);

temp.radius = sqrt((x*x) + (y*y)); temp.angle = atan(y/x);

return temp;

}

/////////////////////////////////////////////////////////////////////////////////////////

void main( )

{

polar pol1(20,45), pol2, pol3;

pol2.get_coordinates( );

pol3 = pol1 + pol2; cout << endl;

pol1.put_coordinates( ); cout << " + ";

pol2.put_coordinates( ); cout << " = ";

pol3.put_coordinates( ); cout << endl << endl;

system("pause");

}

OUTPUT:

Wednesday 16 August 2017