EX4.36.py

# 4.36 (Turtle: point in a circle?) Modify Listing 4.11 to let the program randomly generate
# a point within the square whose center is the same as the circle center and
# whose side is the diameter of the circle. Draw the circle and the point. Display a
# message to indicate whether the point is inside the circle.
import random
import turtle

x1, y1 = eval(input("Enter the center of a circle x, y: "))
radius = eval(input("Enter the radius of the circle: "))
x2 = random.randint(x1 - radius, x1 + radius)
y2 = random.randint(y1 - radius, y1 + radius)

# Draw the circle
turtle.penup()  # Pull the pen up
turtle.goto(x1, y1 - radius)
turtle.pendown()  # Pull the pen down
turtle.circle(radius)

# Draw the point
turtle.penup()  # Pull the pen up
turtle.goto(x2, y2)
turtle.pendown()  # Pull the pen down
turtle.begin_fill()  # Begin to fill color in a shape
turtle.color("red")
turtle.circle(3)
turtle.end_fill()  # Fill the shape

# Display the status
turtle.penup()  # Pull the pen up
turtle.goto(x1 - 70, y1 - radius - 20)
turtle.pendown()

d = ((x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1)) ** 0.5
if d <= radius:
    turtle.write("The point is inside the circle")
else:
    turtle.write("The point is outside the circle")

turtle.hideturtle()

turtle.done()