isjsu

import numpy as np
import matplotlib.pyplot as plt

def plot_problem_1():
    # Circle properties
    circle_center = (10, 0)
    circle_radius = 6
    
    # Set up the figure and axes
    fig, ax = plt.subplots(figsize=(6, 6))
    
    # Draw the circle
    circle = plt.Circle(circle_center, circle_radius, color='blue', fill=False, linestyle='--')
    ax.add_patch(circle)
    
    # Equilateral triangle vertices (approximate placement)
    triangle_points = np.array([
        [10, 6], 
        [10 + 3*np.sqrt(3), -3], 
        [10 - 3*np.sqrt(3), -3]
    ])
    ax.plot(*triangle_points[[0, 1, 2, 0]].T, color='red', marker='o')
    
    ax.set_aspect('equal', adjustable='box')
    ax.set_title('Equilateral Triangle Inscribed in a Circle')
    ax.grid(True)
    plt.xlim(0, 20)
    plt.ylim(-10, 10)
    plt.show()

plot_problem_1()