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in java pls Define the Circle2D class that contains: Two double data fields name

ID: 3904654 • Letter: I

Question

in java pls

Define the Circle2D class that contains:

Two double data fields named x and y that specify the center of the circle with getter methods.

A data field radius with a getter method.

A no-arg constructor that creates a default circle with (0, 0) for (x, y) and 1 for radius.

A constructor that creates a circle with the specified x, y, and radius.

A method getArea() that returns the area of the circle.

A method getPerimeter() that returns the perimeter of the circle.

A method contains(double x, double y) that returns true if the specified point (x, y) is inside this circle.

A method contains(Circle2D circle) that returns true if the specified circle is inside this circle.

A method overlaps(Circle2D circle) that returns true if the specified circle overlaps with this circle.

Explanation / Answer

class Circle2D{ //data members private double x,y,radius; //no argument constructor Circle2D(){ x = 0; y = 0; radius = 1; } //constructor that takes center and radius Circle2D(double x, double y, double radius){ this.x = x; this.y = y; this.radius = radius; } //This method returns area of circle double getArea(){ return Math.PI*radius*radius; } //This method returns perimeter of the circle double getPerimeter(){ return 2*Math.PI*radius; } //This method checks if (x,y) lies in this circle boolean contains(double x, double y){ return ((this.x-x)*(this.x-x)+(this.y-y)*(this.y-y)