Q:

(Random points on a circle) Modify Programming Exercise 4.6 to create five random points on a circle, form a polygon by connecting the points clockwise, and display the circle and the polygon, as shown in Figure 14.51b

(Random points on a circle) Modify Programming Exercise 4.6 to create five random points on a circle, form a polygon by connecting the points clockwise, and display the circle and the polygon, as shown in Figure 14.51b.

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``````/*********************************************************************************
* (Random points on a circle) Modify Programming Exercise 4.6 to create five     *
* random points on a circle, form a polygon by connecting the points clockwise,  *
* and display the circle and the polygon, as shown in Figure 14.51b.             *
*********************************************************************************/
import javafx.application.Application;
import javafx.stage.Stage;
import javafx.scene.Scene;
import javafx.scene.shape.Circle;
import javafx.scene.shape.Polygon;
import javafx.scene.paint.Color;
import javafx.collections.ObservableList;
import javafx.scene.layout.Pane;
import javafx.geometry.Insets;
import java.util.ArrayList;

public class Exercise_14_25 extends Application {
public void start(Stage primaryStage) {
// Create a pane
Pane pane = new Pane();
pane.setPadding(new Insets(10, 10, 10, 10));

// Create a circle
Circle circle = new Circle(60, 60, 40);
circle.setFill(Color.WHITE);
circle.setStroke(Color.BLACK);

// Create a polygon
Polygon polygon = new Polygon();
polygon.setFill(Color.WHITE);
polygon.setStroke(Color.BLACK);
ObservableList<Double> list = polygon.getPoints();

// Generate random angles in radians between 0 and 2PI
ArrayList<Double> angles = new ArrayList<>();
for (int i = 0; angles.size() < 5; i++) {
double angle = (Math.random() * (2 * Math.PI));
if (!angles.contains(angle)) {
}
}

// Sort angles clockwise
java.util.Collections.sort(angles);

// Get 5 points on the circle
for (int i = 0; i < angles.size(); i++) {
Math.cos(angles.get(i)));
Math.sin(angles.get(i)));
}

// Create a scene and place it in the stage
Scene scene = new Scene(pane);
primaryStage.setTitle("Exercise_14_25"); // Set the stage title
primaryStage.setScene(scene); // Place the scene in the stage
primaryStage.show(); // Display the stage
}
}``````

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