2D Orbit the circle Opengl

Question

So i want the tiny red circle to orbit the bigger blue circle but i cant get it and i cant find any information on the best way to do this.

Here is pic of the code running

https://gfycat.com/disgustingenlightenedbrahmancow

#define window_width  1080  
#define window_height 720
#define PI 3.14159265359

float _angle = 0.0;
float _cameraangle = 30.0;

void Draw1() {
    glPushMatrix();
    //float theta;
    int i;
    //float x = 0.5;
    //float y = 0.5;
    float radius = 0.2;
    int num_segments = 1000;
    float twicePi = 2 * PI;

    //glLoadIdentity();
    glBegin(GL_POLYGON);
    glColor3ub(43, 78, 88);
    for (i = 0; i < 360; i++) {

        float theta = i + PI / 180;
        float x = 500+ 250 * cos(theta);
        float y = 350 + 250 * sin(theta);

        glVertex2f(x, y);
    }
    glEnd();




    glEnd();



    //glFlush();
    glPopMatrix;







}
void Draw2() {
    glPushMatrix();
    
    //float theta;
    int i;
    //float x = 0.5;
    //float y = 0.5;
    float radius = 0.2;
    int num_segments = 1000;
    float twicePi = 2 * PI;
    glTranslatef(175, 175, 0);
    glRotatef(_angle, 0, 0, 0.5);
    //glTranslatef(175, 175, 0);
    glBegin(GL_POINTS);

    glColor3ub(255, 0, 0);
    for (i = 0; i < 360; i++) {

        float theta = i + PI / 180;
        float x = 500 + 10 * cos(theta);
        float y = 350 + 10 * sin(theta);

        glVertex3f(x, y, 0);

    }

    glEnd();
   

    glPopMatrix();


}

void Display() {
    glClear(GL_COLOR_BUFFER_BIT);
    Draw1();
    glFlush();
    Draw2();
    glFlush();
    glutSwapBuffers();
    
}

void update(int value)
{
    _angle += 2.0f;
    if (_angle > 360.f)
    {
        _angle -= 360;
    }
    glutPostRedisplay();
    glutTimerFunc(25, update, 0);
}




void LineSegment(void)
{
    glClear(GL_COLOR_BUFFER_BIT);
    glColor3f(1.0, 1.0, 1.0);
    glBegin(GL_LINE_LOOP);
    glVertex2i(20, 120);
    glVertex2i(180, 120);
    glVertex2i(45, 20);
    glVertex2i(100, 190);
    glVertex2i(155, 20);
    glEnd();
    glFlush();
}


void Initialize() {
    glClearColor(0.0, 0.0, 0.0, 0.0);
    glMatrixMode(GL_PROJECTION);
    glLoadIdentity();
    //glOrtho(0.0, 1.0, 0.0, 1.0, -1.0, 1.0);
    gluOrtho2D(0.0, window_width, 0.0, window_height);
}

int main(int iArgc, char** cppArgv) {
    glutInit(&iArgc, cppArgv);
    glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
    glutInitWindowSize(950, 500);
    glutInitWindowPosition(200, 200);
    glutCreateWindow("test");
    Initialize();

    glutDisplayFunc(Display);
   

    glutTimerFunc(25, update, 0);
    glutMainLoop();
    return 0;

}