I want to create Audi logo circles:

However, the result of my code:

#define PI 3.14159265358979323846
#ifdef __APPLE_CC__
#include <GLUT/glut.h>
#else
#include <GL/glut.h>
#endif
#include <cstdlib>
#include <iostream>

float zoom = 1.0f;
void init() {
    // Set the background color to white 
    glClearColor(1.0, 1.0, 1.0, 1.0);
    // Set up the viewport
    glViewport(0, 0, 500, 500);
    // Initialize the projection matrix
    glMatrixMode(GL_PROJECTION);
    glLoadIdentity();

    // Initial zoom setup, centering at the origin
    float range = 5.0 * zoom;
    gluOrtho2D(-range, range, -range, range);

    // Initialize the modelview matrix
    glMatrixMode(GL_MODELVIEW);
    glLoadIdentity();
}

void drawCircle(GLfloat x, GLfloat y, GLfloat radius, GLint numberOfSides, GLfloat r, GLfloat g, GLfloat b, GLfloat alpha) {
    glColor4f(r, g, b, alpha);
    glBegin(GL_POLYGON);
    for (int i = 0; i < numberOfSides; i++) {
        GLfloat angle = 2.0f * PI * i / numberOfSides;
        glVertex2f(x + cos(angle) * radius, y + sin(angle) * radius);
    }
    glEnd();
}

void display() {
    // Clear the color buffer
    glClear(GL_COLOR_BUFFER_BIT);
    // Draw circles with specified fills
    drawCircle(3.0, 0.0, 2.0, 100, 0.3921f, 0.4313f, 0.4470f, 1.0f); // outer circle 1
    drawCircle(3.0, 0.0, 1.5, 100, 1.0f, 1.0f, 1.0f, 1.0f);         // innermost circle 1

    drawCircle(1.0, 0.0, 2.0, 100, 0.3921f, 0.4313f, 0.4470f, 1.0f); // outer circle 2
    drawCircle(1.0, 0.0, 1.5, 100, 1.0f, 1.0f, 1.0f, 1.0f);         // innermost circle 2

    drawCircle(-1.0, 0.0, 2.0, 100, 0.3921f, 0.4313f, 0.4470f, 1.0f); // outer circle 2
    drawCircle(-1.0, 0.0, 1.5, 100, 1.0f, 1.0f, 1.0f, 1.0f);         // innermost circle 2

    drawCircle(-3.0, 0.0, 2.0, 100, 0.3921f, 0.4313f, 0.4470f, 1.0f); // outer circle 2
    drawCircle(-3.0, 0.0, 1.5, 100, 1.0f, 1.0f, 1.0f, 1.0f);         // innermost circle 2

    // Draw the star
    glFlush();
}

int main(int argc, char** argv) {
    glutInit(&argc, argv);
    glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
    glutInitWindowSize(800, 800);
    glutInitWindowPosition(100, 100);
    glutCreateWindow("Mercedes Logo with Circle");
    init();
    // Register display callback function
    glutDisplayFunc(display);
    glutMainLoop();
    return 0;
}

…is not what I expected:

The second circle hides a part of first circle.