Chapter 3 Exercise 29, Introduction to Java Programming, Tenth Edition Y. Daniel LiangY.

**3.29 (Geometry: two circles) Write a program that prompts the user to enter the center coordinates and radii of two circles and determines whether the second circle is inside the first or overlaps with the first, as shown in Figure 3.10. (Hint: circle2 is inside circle1 if the distance between the two centers <= |r1 - r2| and circle2 overlaps circle1 if the distance between the two centers <= r1 + r2. Test your program to cover all cases.) Here are the sample runs:
Enter circle1's center x-, y-coordinates, and radius: 0.5 5.1 13
Enter circle2's center x-, y-coordinates, and radius: 1 1.7 4.5
circle2 is inside circle1

Enter circle1's center x-, y-coordinates, and radius: 3.4 5.7 5.5
Enter circle2's center x-, y-coordinates, and radius: 6.7 3.5 3
circle2 overlaps circle1

Enter circle1's center x-, y-coordinates, and radius: 3.4 5.5 1
Enter circle2's center x-, y-coordinates, and radius: 5.5 7.2 1
circle2 does not overlap circle1 

import java.util.Scanner;
 
public class ProgrammingEx3_29 {
 public static void main(String[] args) {
  Scanner input = new Scanner(System.in);
 
  System.out
    .print("Enter circle1's center x-, y-coordinates, and radius:");
  double x1 = input.nextDouble();
  double y1 = input.nextDouble();
  double r1 = input.nextDouble();
 
  System.out
    .print("Enter circle1's center x-, y-coordinates, and radius:");
  double x2 = input.nextDouble();
  double y2 = input.nextDouble();
  double r2 = input.nextDouble();
 
  double d = Math.sqrt(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2));
 
  if (d <= Math.abs(r2 - r1)) {
   if (r1 > r2) {
    System.out.print("circle2 is inside circle1");
   } else if (r2 > r1) {
    System.out.print("circle1 is inside circle2");
   } else {
    System.out.print("circle2 is indentical to circle1");
   }
  } else if (d < r2 + r1) {
   System.out.print("circle2 overlaps circle1 ");
  } else if (d >= r2 + r1) {
   System.out.print("circle2 does not overlaps circle1 ");
  }
 
 }
}