Complete the following code to test whether two circles, each having a user-defi

Question

Complete the following code to test whether two circles, each having a user-defined radius and a fixed center point lying along the same horizontal line, are disjoint, overlapping, c mutually contained. Sample Runs (user input in red): Input the radius of the first circle: 10 Input the radius of the second circle: 15 Disjoint Input the radius of the first circle: 5 Input the radius of the second circle: 50 Circle 1 is mutually contained in circle 2 Input the radius of the first circle: 50 Input the radius of the second circle: 5 Circle 1 mutually contains circle 2 Input the radius of the first circle: 15 Input the radius of the second circle: 35 Overlapping

Explanation / Answer

import java.util.Scanner;

/**
* @author Srinivas Palli
*
*/
public class CircleOverlap {
   /**
   * @param args
   */
   public static void main(String[] args) {

       Scanner scanner = null;
       try {
           scanner = new Scanner(System.in);
           // prompt user for radius of circle1
           System.out.print("Input the radius of the first circle: ");
           double radius1 = scanner.nextDouble();
           double xcenter1 = 0;
           double ycenter1 = 0;

           // prompt user for radius of circle2
           System.out.print("Input the radius of the second circle: ");
           double radius2 = scanner.nextDouble();
           double xcenter2 = 40;
           double ycenter2 = 0;

           // calculating distance
           double distance = Math
                   .sqrt((Math.pow(xcenter2 - xcenter1, 2) + Math.pow(ycenter2
                           - ycenter1, 2)));

           // checking the circle overlapping or not
           if ((distance <= Math.abs(radius1 - radius2))) {
               System.out.println("circle1 is mutually contained in circle2");
           } else if (distance < (radius1 + radius2)) {
               System.out.println("Overlapping");
           } else {
               System.out.println("Disjoint");
           }

       } catch (Exception e) {
           // TODO: handle exception
           e.printStackTrace();
       }
   }
}

OUTPUT:

Input the radius of the first circle: 10
Input the radius of the second circle: 15
Disjoint

Input the radius of the first circle: 5
Input the radius of the second circle: 50
circle1 is mutually contained in circle2

Input the radius of the first circle: 50
Input the radius of the second circle: 5
circle1 is mutually contained in circle2

Input the radius of the first circle: 15
Input the radius of the second circle: 35
Overlapping

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