//################################################################
//
// Radians2Degrees.java
//
// 
// Sample Run:
//
// Enter an Angle in Radians: 2
// 2.0 radians = 114 degrees, 35 minutes, 29 seconds.
//
// How Does It Work:
// 2 radians = 114.591559.. degrees = (2.0 / PI)*180.0
//
// That is 114 degrees + 0.591559 in change.
// To convert this remainder into second we must divide it by 1.0/60.0
// 0.591559 / (1.0/60.0) = 0.591559 * 60.0 = 35.4935415
//
// Thus, we are left with 35 minutes + 0.4935415 in change.
// To get the number of seconds we do the same thing
// 0.4935415 / (1.0/60.0) =  0.4935415 * 60.0 = 29.61249
//
// Therefore, 2.0 radians = 114 degrees, 35 minutes, 29 seconds
//
// Sanity check: 
//   114 + (35* 1.0/60.0) + (29 * 1.0/60.0 * 1.0/60.0) = 114.5913889 
//   (114.5913889 / 180.0) * PI = 1.999997031 radians
//
//################################################################

import java.util.Scanner;

public class Radians2Degrees
{
   public static void main (String[] args)
   {
		Scanner scan = new Scanner(System.in);
		
		// Ask the user for input
		System.out.print("Enter an Angle in Radians: ");
		double radians = scan.nextDouble();

		// Calculate the degrees		
		double degrees = (radians/Math.PI) * 180.0;
		int deg = (int) Math.floor(degrees);
		
		// Calcualate the minutes
		double minutes = 60.0 * (degrees - deg);
		int min = (int) minutes;
		
		// Calculate Seconds
		double seconds = 60.0 * (minutes - min);
		int sec = (int) seconds;
		
		System.out.print(radians + " radians = ");
		System.out.print(deg + " degrees, ");
		System.out.print(min + " minutes, ");
		System.out.print(sec + " seconds.\n");

		System.out.println("\nSanity Check:");
		double degrees2 = deg + min*(1.0/60.0) + sec*(1.0/60.0)*(1.0/60.0);
		double radians2 = (degrees2/180.0)* Math.PI;
		System.out.println("Converting back to radians we get: " + radians2);
		System.out.println("The difference is: " + (radians - radians2));
		
	}
}