[Solved] SOLVED:# Project-4-Circles

In a prior lab exercise, we had to complete the code to test whether two circles, each having a user-defined radius and a fixed center point lying along the same horizontal line, are disjoint, overlapping, or mutually contained.

We desire to develop a more general solution to the problem an object oriented solution.

Begin by considering that the word circle is a noun, hence we want to have a Circle class.

What describes a circle? Its position and radius.

Lastly, what behaviors does a circle exhibit? Besides various accessor and mutator methods, we want to know if this™ circle is disjoint, contained within, or overlapping with another™ circle. Additionally, a circle can change expand or contract via its radius. It can also move™ to another position.

Create two classes, Circle and Position.

The Position class has instance data for its coordinate, x and y, along the x axis and yaxis, respectively. It has the following methods:

1. A constructor taking two parameters to establish the x and y coordinate.2. Accessor methods, getX and getY for x and y, respectively.3. A move method taking two parameters, x and y.4. A distance method taking as a parameter another Position object, p. It returns the absolute distance from p.5. A toString method that returns a string for the x,y coordinates enclosed in parentheses, e.g., (-1.5,2.0).

The Circle class has a instance data a Position object and its radius. It has the following methods:

1. A Constructor taking three parameters: its radius, x position and y position.2. Two accessor method: getRadius returns its radius and getPosition that returns its Position object.3. A mutator method, setRadius that changes the radius of the circle.4. A move method taking two parameters, x and y.5. A distance method taking as a parameter another Circle object, c. It returns the absolute distance of their centroidsfrom c.6. A boolean method, isDisjoint, taking as a parameter another Circle object, c. It returns true if this circle is disjoint from c.7. A boolean method, contains, taking as a parameter another Circle object, c. It returns true if the circle cis contained within this circle.8. A boolean method, overlaps, taking as a parameter another Circle object, c. It returns true if this circle overlaps with c.9. A toString method that returns a string for the radius and x,y coordinates enclosed in parentheses, e.g., 4.3 @ (-1.5,2.0).

The logic for determining whether they are disjoint, mutually contained, or overlapping is basically the same as for the prior lab but simpler!

If the distance between two circles, d, is less than the sum of their radii, r1and r2, then they overlap. If d is greater than or equal to the sum of their radiithey are disjoint. A circle, c2, is contained within circle c1 if (d + r2) is less than or equal to r1.

The following can be used to test the Circleand Position classes. Comments show the expected result.

`javapublic class CircleTester{public static void main(String[] args){Circle c1 = new Circle(1, 0, 0);display(c1: + c1.toString());Circle c2 = new Circle(2, 1, 1);display(c2: + c2.toString());Circle c3 = new Circle(1, 2, 0);display(c3: + c3.toString());

display(c1 & c2 disjoint? + c1.isDisJoint(c2)); //falsedisplay(c1 & c3 disjoint? + c1.isDisJoint(c3)); //truedisplay(c2 & c3 disjoint? + c2.isDisJoint(c3)); //false

display(c1 & c2 overlap? + c1.overlaps(c2)); //truedisplay(c1 & c3 overlap? + c1.overlaps(c3)); //falsedisplay(c2 & c3 overlap? + c2.overlaps(c3)); //true

display(c1 contains c2? + c1.contains(c2)); //falsedisplay(c2 contains c1? + c2.contains(c1)); //falsedisplay(c1 contains c3? + c1.contains(c3)); //false

display(c3 contains c1? + c3.contains(c1)); //falsedisplay(c2 contains c3? + c2.contains(c3)); //falsedisplay(c3 contains c2? + c3.contains(c2)); //false

Circle c4 = new Circle(2.5, 1, 0);display(c4: + c4.toString());display(c1 contains c4? + c1.contains(c4)); //falsedisplay(c4 contains c1? + c4.contains(c1)); //true}

public static void display(String message){System.out.println(message);}}`