inscribed circle tkinter

polgonNcircle.py

import tkinter as tk
import math

# define constants
CANVAS_WIDTH = 1200
CANVAS_HEIGHT = 720
DEFAULT_SIDES = 4
DEFAULT_LENGTH = 100

# initialize Tkinter
root = tk.Tk()

# create canvas for drawing
canvas = tk.Canvas(root, width=CANVAS_WIDTH, height=CANVAS_HEIGHT)
canvas.pack()

# create variables for sliders
sides_var = tk.IntVar()
sides_var.set(DEFAULT_SIDES)
length_var = tk.DoubleVar()
length_var.set(DEFAULT_LENGTH)
def circle_from_points(points):
    """
    Calculate the center and radius of a circle from a list of points.
    """
    # calculate coordinates of centroid
    x = y = 0
    for point in points:
        x += point[0]
        y += point[1]
    x /= len(points)
    y /= len(points)

    # calculate distance from centroid to farthest point
    r = 0
    for point in points:
        d = math.sqrt((point[0] - x)**2 + (point[1] - y)**2)
        r = max(r, d)

    return x, y, r

# function to update polygon and circle
def update(value=1.0):
    # get values from sliders
    n = sides_var.get()
    s = length_var.get() * float(value) * .02 #scaling factor

    # calculate radius of inscribed circle
    r = (s / 2) / math.tan(math.pi / n)

    # calculate coordinates of polygon vertices
    center_x = CANVAS_WIDTH / 2
    center_y = CANVAS_HEIGHT / 2
    polygon_points = []
    for i in range(n):
        x = center_x + r * math.cos(2 * math.pi * i / n - math.pi / 2)
        y = center_y + r * math.sin(2 * math.pi * i / n - math.pi / 2)
        polygon_points.append((x, y))

    # calculate coordinates of inscribed circle
    circle_points = []
    for i in range(n):
        x1, y1 = polygon_points[i]
        x2, y2 = polygon_points[(i + 1) % n]
        mid_x = (x1 + x2) / 2
        mid_y = (y1 + y2) / 2
        circle_points.append((mid_x, mid_y))
    
    circle_x, circle_y, circle_r = circle_from_points(circle_points)

    

    # clear canvas
    canvas.delete(tk.ALL)

    
    

    # draw polygon
    canvas.create_polygon(polygon_points, outline="blue", width=2)

    # draw inscribed circle
    canvas.create_oval(
        circle_x - circle_r, 
        circle_y - circle_r, 
        circle_x + circle_r, 
        circle_y + circle_r, 
        outline="red", 
        width=2
    )


    



# create labels for sliders
sides_label = tk.Label(root, text="Number of Sides:")
sides_label.pack()
# create sliders
sides_slider = tk.Scale(root, from_=3, to=20, orient=tk.HORIZONTAL, variable=sides_var, command=update)
sides_slider.pack()
# create labels for sliders
length_label = tk.Label(root, text="Length of Sides:")
length_label.pack()
# create sliders
length_slider = tk.Scale(root, from_=10, to=300, orient=tk.HORIZONTAL, variable=length_var, command=update)
length_slider.pack()


# call update function to draw initial polygon and circle
update()

# run Tkinter event loop
root.mainloop()