Question

1.Define a class to hold information about a single point (Point class).

2.Write a method of the Point class to determine the distance to another Point.

3.Use composition to define a Circle.

4.Write a method of the Circle classes to determine if a Point is inside the Circle.

5.Write a method of the Circle classes to determine if a Circle is wholly inside another Circle.

6.Write a method of the Circle classes to determine if a circle surrounds another circle. Use the method above.

Write a new class called TestCircle, which contains the main method in order to test your classes. In the main method do the following tasks:

1.Create a circle object

2.Create a point object

3.Print the distance from that point to the centre of the circle.

4.Create a second circle object

5.Find out if the second circle is inside the first one.

Please answer all the Question with Comment

Answer 1

In case of any queries, please revert back.

class Point{
//We define the coordinates
public double x,y;
  
//Constructor to set the coordinates of point
public Point(double x1,double y1){
x=x1;
y=y1;
}
  
//get the distance between 2 points
public double getDist(Point p1,Point p2){
//dist=((x1-x2)^2 + (y1-y2)^2)^(1/2)
double dist=Math.pow(p1.x-p2.x,2)+Math.pow(p1.y-p2.y,2);
dist=Math.sqrt(dist);
return dist;
}
}

class Circle{
//centre is at point.
public Point centre;
public double radius;
  
//Constructor to Define Circle
public Circle(Point p1,double r1){
centre=p1;
radius=r1;
}
  
//Is point in Circle
public boolean isPointInCircle(Point p1){
//we find distance between centre and p1
double dist=centre.getDist(centre,p1);
//if it is less than radius it is in otherwise out.
if(dist<radius){
return true;
}
else{
return false;
}
}
  
//is the original circle in other circle
public boolean isMyCircleInCircle(Circle C1){
//Find distance between 2 centres
double dist=centre.getDist(centre,C1.centre);
/*if the distance plus radius is less than radius of outer circle,it is in the circle */
if(dist+radius<=C1.radius){
return true;
}
else{
return false;
}
}
  
//is the circle inside original circle
public boolean isCircleInMyCircle(Circle C1){
//Find distance between 2 centres
double dist=centre.getDist(centre,C1.centre);
/*if the distance plus radius is less than radius of outer circle,it is in the circle */
if(dist+C1.radius<=radius){
return true;
}
else{
return false;
}
}
  
}

//You can use TestCircle instead here
public class Main
{
   public static void main(String[] args) {
   //Define a centre Point
   Point centre1=new Point(2,2);
   //Define a circle with centre c1 and radius 2
   Circle C1=new Circle(centre1,2);
  
   Point p1=new Point(3,7);
   double distance=p1.getDist(p1,centre1);
   System.out.println("distance between point and circle is "+distance);
  
   Point centre2=new Point(2,1);
   Circle C2=new Circle(centre2,1);
  
   boolean flag=C1.isCircleInMyCircle(C2);
  
   System.out.println("Does This Circle Lie in C1? "+flag);
   }
}

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