//Polygons.java
//radius fixed at 1, show apothem, side length, perimeter, area of regular polygons

import java.awt.*;
import javax.swing.*;
import java.text.*;	

public class Polygons  {   

    public static void main (String[] args) {
        //String input;
        int angleSum, numDiags;
        double apothem, angle, area, perimeter, sideLen;
	double r=1.0;
    	DecimalFormat	d3 = new DecimalFormat ("0.000");
    	DecimalFormat	d1 = new DecimalFormat ("0.0");

        //input = JOptionPane.showInputDialog("Max value of k","16");
        //maxTry = Integer.parseInt(input);
        System.out.println("n  r    a      s    p     A    angle anglesum  diagonals");

        for (int n=3; n<=12; n++) {
	    apothem = r * Math.cos(Math.toRadians(180.0/n));
	    sideLen = 2 * (Math.sqrt(1 - apothem*apothem));
	    area = 0.5 * n * sideLen * apothem;
	    perimeter = n * sideLen;
	    numDiags = n * (n-3) / 2;
	    angle = (1 - 2.0/n) * 180;
	    angleSum = (n - 2) * 180;
            System.out.println(""+n+" "+r+" "+d3.format(apothem)+" "+d3.format(sideLen)+" "+
            	              d3.format(perimeter)+" "+d3.format(area)+" "+
            	             d1.format(angle)+"    "+angleSum+"       "+numDiags);

        }
    }
}