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import matplotlib.pyplot as plt
import numpy as np

# Define the radius
radius = 5

# Define the center of the circle
center = (0, 0)

# Create the theta values
theta = np.linspace(0, 2 * np.pi, 100)

# Parametric equations for the circle
x = center[0] + radius * np.cos(theta)
y = center[1] + radius * np.sin(theta)

# Plot the circle
plt.figure(figsize=(6,6))
plt.plot(x, y, label='Circle')
plt.plot(center[0], center[1], 'ro')  # Center of the circle
plt.plot(3, 4, 'bo')  # Point (3, 4) on the circle

# Plot the axes
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(0, color='black',linewidth=0.5)

# Set the aspect ratio to be equal
plt.gca().set_aspect('equal', adjustable='box')

# Labeling the plot
plt.title('Circle with center at the origin and radius 5')
plt.xlabel('x')
plt.ylabel('y')
plt.grid(True)
plt.legend()

# Show the plot
plt.show()