You are to recursively draw circles as shown below 1 User wi

You are to recursively draw circles as shown below.

1. User will give a radius as argument within the range of 10 – 50 and the x and y coordinate that will become the center of the circle. Fix coordinates of the center point of the circle at x = 100 and y = 50.

2. Implement a function drawCircles that is recursive (calls itself)

3. The function must draw a circle of radius sent in parameter.

4. Must call itself with new radius that is half of the last circle drawn, in such a way that all circles touch the circumference of each other (like in the diagram below. HINT: keep y coordinate same for every call and change x coordinate by adding the (old_radius + new_radius) into it! ) and keep getting smaller until the radius becomes 1 and then it must stop.

HINT: Use library graphics.h for drawing

NOTE: The code should be in C Language. Thanks.

ALSO: The software I use is \" DEV C++ \".

Solution

#include<stdio.h>
#include<graphics.h>
#include<conio.h>

int main(){
int gd = DETECT,gm;
int x ,y ,radius=100;
initgraph(&gd, &gm, \"C:\\\\TC\\\\BGI\");
x = 100;
y = 50;
drawCirclecircle(radius, y, x);

getch();
closegraph();
return 0;
}
void drawCircle(int radius, int y, int x)
{
   circle(x,y, radius);
   if(radius < =1)
       return;
   return drawCircle(radius/2, y, (x+(x/2)));
      
      
}