How can we separate the points inside and outside a circle in java?

I have a question about Circle Inside/Outside. First of all we have 9 circle and we have to generate many random 2D points (say N=100,000) and draw them in red if they are within any of these circles. Otherwise, draw them in grey color.

I tried to do a few things and I got this result:

import javafx.application.Application;
import javafx.scene.Scene;
import javafx.scene.layout.Pane;
import javafx.scene.paint.Color;
import javafx.scene.shape.Circle;
import javafx.stage.Stage;


public class circlejava extends Application{
    public void start(Stage primaryStage) {
        // scene parameters
        int scene_w = 600;
        int scene_h = 600;

        // circle parameters
        long radius = 150;
        int center_x = 300;
        int center_y = 300;

        Pane pane = new Pane();
        // Some code to drawing circle
        Circle circle = new Circle();
        circle.setCenterX(center_x);
        circle.setCenterY(center_y);
        circle.setRadius(radius);
        circle.setStroke(Color.RED);
        circle.setStrokeWidth(1);
        circle.setFill(null);
        pane.getChildren().add(circle);

        Circle circle2 = new Circle();
        circle2.setCenterX(100);
        circle2.setCenterY(100);
        circle2.setRadius(50);
        circle2.setStroke(Color.RED);
        circle2.setStrokeWidth(1);
        circle2.setFill(null);
        pane.getChildren().add(circle2);

        Circle circle3 = new Circle();
        circle3.setCenterX(300);
        circle3.setCenterY(100);
        circle3.setRadius(20);
        circle3.setStroke(Color.RED);
        circle3.setStrokeWidth(1);
        circle3.setFill(null);
        pane.getChildren().add(circle3);

        Circle circle4 = new Circle();
        circle4.setCenterX(500);
        circle4.setCenterY(100);
        circle4.setRadius(50);
        circle4.setStroke(Color.RED);
        circle4.setStrokeWidth(1);
        circle4.setFill(null);
        pane.getChildren().add(circle4);

        Circle circle5 = new Circle();
        circle5.setCenterX(center_x);
        circle5.setCenterY(center_y);
        circle5.setRadius(radius);
        circle5.setStroke(Color.RED);
        circle5.setStrokeWidth(1);
        circle5.setFill(null);
        pane.getChildren().add(circle5);

        Circle circle6 = new Circle();
        circle6.setCenterX(500);
        circle6.setCenterY(300);
        circle6.setRadius(20);
        circle6.setStroke(Color.RED);
        circle6.setStrokeWidth(1);
        circle6.setFill(null);
        pane.getChildren().add(circle6);

        Circle circle7 = new Circle();
        circle7.setCenterX(100);
        circle7.setCenterY(300);
        circle7.setRadius(20);
        circle7.setStroke(Color.RED);
        circle7.setStrokeWidth(1);
        circle7.setFill(null);
        pane.getChildren().add(circle7);

        Circle circle8 = new Circle();
        circle8.setCenterX(100);
        circle8.setCenterY(500);
        circle8.setRadius(50);
        circle8.setStroke(Color.RED);
        circle8.setStrokeWidth(1);
        circle8.setFill(null);
        pane.getChildren().add(circle8);

        Circle circle9 = new Circle();
        circle9.setCenterX(300);
        circle9.setCenterY(500);
        circle9.setRadius(20);
        circle9.setStroke(Color.RED);
        circle9.setStrokeWidth(1);
        circle9.setFill(null);
        pane.getChildren().add(circle9);

        Circle circle10 = new Circle();
        circle10.setCenterX(500);
        circle10.setCenterY(500);
        circle10.setRadius(50);
        circle10.setStroke(Color.RED);
        circle10.setStrokeWidth(1);
        circle10.setFill(null);
        pane.getChildren().add(circle10);

        for(int i = 0; i<100000; i++) {

            Circle nokta = new Circle();
            double t = 2 * Math.PI * Math.random();
            double r = Math.sqrt(Math.random());
            double x = r * Math.cos(t);
            double y = r * Math.sin(t);
            nokta.setCenterX(x*scene_w);
            nokta.setCenterY(y*scene_h);
            nokta.setRadius(r);
            nokta.setFill(Color.RED);
            nokta.setStroke(Color.GRAY);
            pane.getChildren().add(nokta);
        }


        Scene scene = new Scene(pane, scene_w, scene_h);
        primaryStage.setTitle("Pi Estimation by Random Points");
        primaryStage.setScene(scene);// Place the scene in the stage
        primaryStage.setResizable(false);
        primaryStage.show();// Display the stage

        }


    public static void main(String[] args){
       Application.launch(args);

    }


}

So, How can I separate the points inside and outside the circle ?

Thank you,