Code:
import java.util.Random;
import java.util.Scanner;
public class Position_Point_WRT_Circle
{
public static void main(String args[])
{
Random random = new Random();
int x1, y1, x2, y2, x3, y3;
double m1, m2, c1, c2, r;
x1 = random.nextInt(10);
y1 = random.nextInt(10);
x2 = random.nextInt(10);
y2 = random.nextInt(10);
x3 = random.nextInt(10);
y3 = random.nextInt(10);
m1 = (y1 - y2) / (x1 - x2);
m2 = (y3 - y2) / (x3 - x2);
c1 = ((m1 * m2 * (y3 - y1)) + (m1 * (x2 + x3)) - (m2 * (x1 + x2)))
/ (2 * (m1 - m2));
c2 = ((((x1 + x2) / 2) - c1) / (-1 * m1)) + ((y1 + y2) / 2);
r = Math.sqrt(((x3 - c1) * (x3 - c1)) + ((y3 - c2) * (y3 - c2)));
System.out.println("The points on the circle are: (" + x1 + ", " + y1
+ "), (" + x2 + ", " + y2 + "), (" + x3 + ", " + y3 + ")");
System.out.println("The center of the circle is (" + c1 + ", " + c2
+ ") and radius is " + r);
System.out.println("Enter the point :
Scanner scan = new Scanner(System.in);
int x, y;
x = scan.nextInt();
y = scan.nextInt();
double s = ((x - c1) * (x - c1)) + ((y - c2) * (y - c1)) - (r * r);
if (s < 0)
System.out.println("The point lies inside the circle");
else if (s > 0)
System.out.println("The point lies outside the circle");
else
System.out.println("The point lies on the circle");
scan.close();
}
}
Output:
The points on the circle are: (5, 9), (4, 7), (2, 0)
The center of the circle is (34.5, 23.25) and radius is 39.960136386153636
Enter the point :
3 5
The point lies inside the circle
The points on the circle are: (0, 1), (2, 3), (5, 4)
The center of the circle is (3.5, 4.5) and radius is 1.5811388300841898
Enter the point :
1 2
The point lies outside the circle
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