This program practices recursion to make circles.

Initial Form:

The initial form uses a BorderPane as shown.

Center Pane:

Use a Pane container with some background color. The pane will have the same width as height.

Bottom Pane

Display label "Enter radius of largest circle", text field and button as shown.

The button event handler calls a method makeCircles. This method is not recursive but is called whenever the user clicks the Start button.

Button startButton $=$ new Button $("$Start$")$;

startButton. setonAction $($event $$ makeCircles $())$;

Event handler makeCireles will get the radius of the largest circle from the TextField If the circle will not fit in the center pane, display an Alert Box. Be sure to use the pane getWidth method for computations versus a literal value in case code changes the window size. Otherwise, call a recursiye method displayCireles which is passed a radius and a color and displays the circle and calls itself with a radius $10$ pixels smaller and altemating color. Colors should alternate between two colors of your choice. The base case is reached when the circle radius is $0.$

Sample Output:

Example of alert box:

import java$\_$scene.shape.Circle;

$//$ import the Circle class

There are several constructors. You will use one that is passed the center coordinates and radius.

Circle c $=$ new Circle $(100,100,40)$;

$//$ center is at $(100,100)$ in the pane with radius $40$

c$.$setStroke $($Celor$.$BLACK$)$;

$//$ set border to black

c$.$setFill $($Color$.$RED$)$;

i$/$ set fill color to red

Once the circle is added to the pane, it will be displayed.

centerpane.getChildren $0-$add$($circle$)$;

$//$ add this circle to the pane named centerpane

Grading Rubric:

The program is not aceepted if it does not compile.

The program is not accepted if it does not use a recursive method to display the circles. Do not use a loop algorithm in this method.