Main.java

import java.util.Scanner;

public class Main{

    Point P, Q;
    double radius;

    // inputs: two points:
    public static Circle createCircle(Point P, Point Q, double radius){
        if(!P.equals(Q) && (radius >= (0.5 * P.distanceTo(Q) ))){
            Point M = P.midPoint(Q);
            double anglePQ = P.angleTo(Q);
            double distance_PM = P.distanceTo(M);
            // pythagoras:
            double distance_CM = Math.sqrt( (radius * radius) - (distance_PM * distance_PM));
            Point C = M.moveTo((Math.PI / 2) - anglePQ, distance_CM);
            return Circle.getCircle(C, radius);
        } else {
           return  null;
        }
      }



    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        Point p = new Point(sc.nextDouble(), sc.nextDouble());
        Point q = new Point(sc.nextDouble(), sc.nextDouble());
        double radius = sc.nextDouble();
        Circle result = createCircle(p, q, radius);

        if(result != null){
            System.out.println("Created: " + result);
        } else{
            System.out.println("No valid circle can be created");
        }

    }
}