//given coordinates(x,y) of a center of circle and its radius, wap which will determine whether a given point lies inside the circle, on the circle, or outside the circle.
// use pow() and sqrt()

#include<stdio.h>
#include<math.h>

main()
{
  //declare variables for radius, coordinates, point
  int x1,x2,radius,y1,y2;
  float point, distance;
  printf("Check where the point lies\n");
  printf("--------------------------------\n\n");

  //get input for radius, center coordinates

  printf("Provide the coordinates for circle centre\n");
  printf("x1 : \t");
  scanf("%d",&x1);
  printf("x2 : \t");
  scanf("%d",&y1);

  printf("What is the radius of the circle \n");
  scanf("%d",&radius);

  //get the coordinates to check for
  printf("Provide the point to check for \n");
  printf("p1 : \t");
  scanf("%d",&x2);
  printf("p2 : \t");
  scanf("%d",&y2);

  //print the circle info for clarity
  printf("\nFor The given circle (%d,%d) \n",x1,y1+radius);
  printf("\nAnd the given point (%d,%d) \n",x2,y2);

  //to check where the point lies, we should use the
  //formula, sqrt((x2-x1)*2 + (y2-y1)*2) = r

  distance =(pow((x2-x1),2)+pow((y2-y1),2));
  point = sqrt(distance);

  //check where the point lies
  if(point>radius)
    printf("\nThe point (%d,%d) is outside the circle\n",x2,y2);
  else if(point == radius)
    printf("\nThe point (%d,%d) is on the circle\n",x2,y2);
  else if(point<radius)
    printf("\nThe point (%d,%d) is inside the circle\n",x2,y2);


}