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i'v a problem with dowing a circle in opengl

I want to drow a fram of circles but my circle function did not implemented

this the code that I try

```
#include <windows.h>
#include <gl\gl.h>
#include <gl\glu.h>
#include <gl\glut.h>
#include <math.h>
static void redraw(void);
int main(int argc, char **argv)
{
glutInit(&argc,argv);
glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE | GLUT_DEPTH);
glutInitWindowPosition(100,100);
glutInitWindowSize(400,400);
glutCreateWindow("draw circle");
glutDisplayFunc(redraw);
glMatrixMode(GL_PROJECTION);
gluPerspective(45,1.0,10.0,200.0);
glMatrixMode(GL_MODELVIEW);
glutMainLoop();
return 0;
}
static void redraw(void)
{
#define PI 3.14159265
#define EDGES 90
#define factor 10
glClearColor(1.0,1.0,1.0,0.0);
glClear(GL_COLOR_BUFFER_BIT|GL_DEPTH_BUFFER_BIT);
glLoadIdentity();
glColor3f(0.0,0.0,0.0);
glTranslatef(0.0,0.0,-100.0);
for (int i = 0; i < EDGES; i++) {
glBegin(GL_LINE_LOOP);
glVertex2f(factor*cos((2*PI*i)/EDGES),factor*sin((2*PI*i)/EDGES));
glVertex2f(factor*cos((2*PI*(i+1))/EDGES),factor*sin((2*PI*(i+1))/EDGES));
glEnd();
}
glutSwapBuffers();
}
```

any ideas