C++ Specifications: 1. Extend Circle class in Lab 2. Add the functions marked with *** in the following UML Circle -int x //x coord of the center -int y // y coord of the center -int radius + Circle() //default constructor that sets origin to (0,0) and radius to 1 +Circle(int x, int y, int radius) // regular constructor +getX(): int +getY(): int +getRadius(): int +setX(int newX: void +setY(int newY): void +setRadius(int newRadius):void +getArea(): double // returns the area using formula pi*r^2 +getCircumference // returns the circumference using the formula 2*pi*r +toString(): String // return the circle as a string in the form (x,y) : radius +getDistance(Circle other): double // *** returns the distance between the center of this circle and the other circle +moveTo(int newX,int newY):void // *** move the center of the circle to the new coordinates +intersects(Circle other): bool //*** returns true if the distance between the two centers is less than the sum of their radii. +resize(double scale):void// *** multiply the radius by the scale +resize(int scale):Circle // *** returns a new Circle with the same center as this circle but radius multiplied by scale //note that the resize function is an overloaded function. The definitions have different signatures 2. Create a file called CircleHeader.h (header file) which contains the Circle class specification. A specification file contains the class definition with the name, member variables and the function prototypes. 3. Create a file called Circle.cpp (implementation file) which contains the function implementation of all the functions in the header file. 4. Create a driver class called CircleMain.cpp to do the following: a. Declare and instantiate a circle called circleOne using the default constructor b. Declare and instantiate a circle called circleTwo with center at origin and radius =4. c. Display the circles in the format (x,y):radius using the toString method d. Display the distance between the two circles using getDistance method e. Check if circleOne intersects circleTwo. Display the results f. Create a circleThree by using the resize function with a scale of integer 10 on circleTwo g. Move circleThree to (4,5) h. Check if circleTwo intersects circleThree. Display the results. i. Create a fourth Circle, circleFour at center (4,5) and radius =1 j. Check if circleFour intersects circleOne. Display the results. k. Use resize function to increase the radius of circleThree by a factor 9.5 (note the double Your output needs to look like this: LAB2: Main.cpp: #include "CircleHeader.h" #include using namespace std; int main() { //creating first object Circle circleOne; //creating second object Circle circleTwo(0,0,4); //displaying first and second Circle cout<<"Circle one is : "<<"("< #include using namespace std; //declaring class class Circle { //private data members declaration int x; int y; int radius; public: //default constructor Circle(); //parameterised constructor Circle(int X, int Y, int Radius); //declaration of setters int getX(); int getY(); int getRadius(); //declaration of getters void setX(int newX); void setY(int newY); void setRadius(int newRadius); //declaration of functions to find area and Circumference double getArea(); double getCircumference(); string toString(); }; #endif Circle.cpp: //this file contains the definition of member functions of the class #include #include "CircleHeader.h" #include #include using namespace std; Circle::Circle() { x=0; y=0; radius=1; } Circle::Circle(int x, int y, int radius) { this->x=x; this->y=y; this->radius=radius; } int Circle::getX() { return x; } int Circle::getY() { return y; } int Circle::getRadius() { return radius; } void Circle::setX(int newX) { x=newX; } void Circle::setY(int newY) { y=newY; } void Circle::setRadius(int newRadius) { radius=newRadius; } double Circle::getArea() { double area=M_PI*radius*radius; return area; } double Circle::getCircumference() { double Circumference=2*M_PI*radius; return Circumference; } string Circle::toString() { string s; s="("+to_string(getX())+","+to_string(getY())+"):"+to_string(getRadius()); return s; }