Drawing circles the Bresenham way

Drawing circles pixel by pixel can also suffer from the same issue of pixel skipping if the naïve approach of using a circle equation to calculate pixel locations is used. Consider the implicit circle equation:

The naïve approach to drawing this with pixels could be achieved with the following code:

import math
import pygame
pygame.init()
screen_width = 400
screen_height = 400
screen = pygame.display.set_mode((screen_width,
                                  screen_height))
pygame.display.set_caption('Naive Circle')
done = False
white = pygame.Color(255, 255, 255)
radius = 50
center = (200, 200)
while not done:
    for event in pygame.event.get():
        if event.type == pygame...