(Geometry: area of a pentagon) Write a program that prompts the user to enter th

Question

(Geometry: area of a pentagon) Write a program that prompts the user to enter the length from the center of a pentagon to a vertex and computes the area of the pentagon, as shown in the following figure. The formula for computing the area of a pentagon is Area = 5 times s^2/4 times tan(pi/5), where s is the length of a side. The side can be computed using the formula s = 2r sin pi/5, where r is the length from the center of a pentagon to a vertex. Round up two digits after the decimal point. Here is a sample run:

Explanation / Answer

HI, Please find my implementation.

import java.util.Scanner;

public class PentagoanArea {

  

   public static void main(String[] args) {

      

       Scanner sc = new Scanner(System.in);

      

       System.out.print("Enter the length from center to vertex: ");

       double r = sc.nextDouble();

      

       double s = 2*r*Math.sin(Math.PI/5);

      

       double area = (5*s*s)/(4*Math.tan(Math.PI/5));

      

       System.out.println("The are of the pentagoan is: "+String.format("%.2f", area));

      

       //System.out.println("The are of the pentagoan is: "+area);

      

   }

}

/*

Sample run:

Enter the length from center to vertex: 5.5

The are of the pentagoan is: 71.92

*/

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