N Overlapping Circle with Python and Turtle (Source Code)

Generalize the three overlapping circles project by letting it draw any number of overlapping circles. The following is the overlapping circles from size 2 to size 7.

Solution

import turtle
import math

screen = turtle.Screen()
screen.title('N Overlapping Circles - PythonTurtle.Academy')
screen.setup(1000,1000)
turtle.hideturtle()
turtle.speed(0)
turtle.pensize(2)

def draw_circle(x,y,radius):
  turtle.up()
  turtle.goto(x,y-radius)
  turtle.seth(0)
  turtle.down()
  turtle.circle(radius,steps=360)

r = 150
n = 3
r2 = r/2/math.sin(math.radians(180/n))
angle = 90
for _ in range(n):
  draw_circle(r2*math.cos(math.radians(angle)),
              r2*math.sin(math.radians(angle)),
              r)
  angle += 360/n