Question

1 More Than You Ever Wanted to Know About Pentagons Your assignment here is to create a Pentagon class to represent a regular Pentagon, which has five sides and all angles are of equal length. You will need to create the instance variables, constructors, and instance methods for the Pentagon. 1.1 Instance Methods There is only one thing that distinguishes any regular pentagon from another how big its sides are. Create an instance variable called size to represent the size of the sides. You only need one since they are all the same length. Make size private. If you cannot figure out this very first part do not continue any further with the assignment under any circumstances. Go back and rewatch the lectures or ask for help. 1.2 Constructors We want to set the size of the pentagon when we create it. Create a single constructor for Pentagon, which should take in a double. Use this double to set size of the pentagon. 1.3 Instance Method Complete the following instance methods: 1.3.1 Setters and Getters Create one setter and one getter methodl for the instance variable size 1.3.2 Perimeter Create a method that caleulates and returns the perimeter of the pentagon. 1.3.3 Height Create a method that calculates and returns the height of the pentagon. The pentagon's height is the distance fronm once corner to its opposite side

Answer 1

Explanation:

Below is the Java code for above problem with proper description provided within comments itself. Below code some sample output screenshots are attached.

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Java code :


// class
public class Pentagon {

        // 1.1 instance variable
        private double size;

        // 1.2 constructor
        public Pentagon(double size) {
                super();
                this.size = size;
        }

        // 1.3.1 getter
        public double getSize() {
                return size;
        }

        // and setters
        public void setSize(double size) {
                this.size = size;
        }

        // 1.3.2 calculate parameter
        public double parameter() {
                // calculate parameter
                return 5 * this.getSize();
        }

        // 1.3.3 calculate height
        public double height() {
                // calculate height
                return (Math.sqrt(5 + 2 * Math.sqrt(5)) / 2) * this.size;
        }

        // 1.3.4 calculate width
        public double width() {
                // calculate width
                return ((Math.sqrt(5) + 1) / 2) * this.size;
        }

        // 1.3.5 calculate area
        public double area() {
                // calculate area
                return 0.5 * this.parameter() * this.inradious();
        }

        // 1.3.6 calculate in radius
        public double inradious() {
                // calculate in radius
                return this.size / (2 * Math.tan(Math.PI / 5));
        }

        // 2 testing
        public static void main(String[] args) {
                // create object
                Pentagon p = new Pentagon(5);

                // test the methods
                System.out.println("Height : " + p.height());
                System.out.println("Width : " + p.width());
                System.out.println("Parameter : " + p.parameter());
                System.out.println("Area : " + p.area());
                System.out.println("In Radius : " + p.inradious());
        }
}


Sample Output : 


Problems ConsoleDeclaration Search S Terminal Debug DDisplay <terminated> Pentagon [Java Application] C:\Program FilesJava\jre1.8.0_131\bin javaw.exe (A Height 7.694208842938134 Width: 8.090169943749475 Parameter 25.0 Area : 43.01193501472417 In Radius : 3.440954801177934