Question

Define a function drawCircle. This function should expect a Turtle object, the coordinates of the circle’s center point, and the circle’s radius as arguments. The function should draw the specified circle. The algorithm should draw the circle’s circumference by turning 3 degrees and moving a given distance 120 times. Calculate the distance moved with the formula 2.0 × π × radius ÷ 120.0.

Define a function main that will draw a circle with the following parameters when the program is run:

X = 50
Y = 75
Radius = 100

Answer 1

To create the drawCircle function, define it with parameters for a Turtle object, center coordinates, and radius, using the given formula to calculate movement distance as the turtle draws the circle. The main function creates a Turtle and calls drawCircle to make a circle with specified parameters.

Step-by-step explanation:

To define a function drawCircle in a programming context, typically using a language like Python with the Turtle graphics module, you'd set up a function that accepts a Turtle object, the x and y coordinates for the circle's center, and the circle's radius. Inside the function, you would calculate the distance to move the turtle each time it draws a segment of the circle with the formula provided (2.0 × π × radius ÷ 120.0), instruct the Turtle to move to the starting position without drawing, and use a loop to draw the circle by turning and moving the turtle 120 times.

The function main would create a Turtle object, and call drawCircle with the specific X, Y, and Radius parameters (X=50, Y=75, Radius=100). The circle's circumference will be approximated by the turtle making 120 small straight-line moves, turning 3 degrees after each one, giving the appearance of a circle when completed.

Answer 2

The drawCircle function uses a Turtle object to draw a circle by turning the turtle 3 degrees and moving it forward a calculated distance 120 times. This distance is calculated with the formula (2 * π * radius / 120). The function and an example main function are provided in Python.

Step-by-step explanation:



Defining the drawCircle Function -

To define a function drawCircle that draws a circle using a Turtle object, we first start by calculating the circumference of a circle with a given radius and then use that to determine how far the turtle moves with each step. The function will make the turtle turn 3 degrees and move forwards a certain distance computed by the formula (2.0 × π × radius ÷ 120.0) 120 times to complete a circle. The coordinates of the circle's center are used to position the turtle before it starts drawing.

Function Implementation and Usage-

Here is an example of how the drawCircle function could be implemented in Python:

import turtle
import math

def drawCircle(t, x, y, radius):
t.penup()
t.goto(x, y-radius)
t.pendown()
for _ in range(120):
t.forward(2.0 * math.pi * radius / 120.0)
t.left(3)

To invoke this function, you would create a Turtle object and call drawCircle with the desired parameters. For instance, to draw a circle at coordinates (50, 75) with a radius of 100, you would do the following:



def main():
screen = turtle.Screen()
my_turtle = turtle.Turtle()
drawCircle(my_turtle, 50, 75, 100)
screen.mainloop()

main()

Note that the above code includes a main function that sets up the Turtle environment, creates a turtle, and uses the drawCircle function to draw the desired circle when the program is run.