(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

/*
(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 6 = |r1 - r2| and circle2
overlaps circle1 if the distance between the two centers <= r1 + r2. Test your
program to cover all cases.)
*/
import java.util.Scanner;

public class Exercise_03_29 {
	public static void main(String[] args) {
		Scanner input = new Scanner(System.in); 	// Create a new Scanner

		// Prompt the user to enter the center coordinates and radii of two circles
		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 circle2's center x-, y-coordinates, and radius: ");
		double x2 = input.nextDouble();
		double y2 = input.nextDouble(); 
		double r2 = input.nextDouble(); 

		if (Math.pow(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2), 0.5) 
			<= Math.abs(r1 - r2))
			System.out.println("circle2 is inside circle1");
		else if (Math.pow(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2), 0.5)
					<= r1 + r2)
			System.out.println("circle2 overlaps circle1");
		else
			System.out.println("circle2 does not overlap circle1");
	}
}