Question

Use Java

(Geometry: point in a rectangle?)

Write a program that prompts the user to enter a point (x, y) and checks whether the point is within the rectangle centered at (0, 0) with width 10 and height 5.

For example, (2, 2) is inside the rectangle and (6, 4) is outside the rectangle.

(Hint: A point is in the rectangle if its horizontal distance to (0, 0) is less than or equal to10 / 2 and its vertical distance to (0, 0) is less than or equal to 5.0 / 2. Test your program to cover all cases.)

Sample Run 1

Enter a point with two coordinates: 2 2
Point (2.0, 2.0) is in the rectangle

Sample run 2

Enter a point with two coordinates: 6 4
Point (6.0, 4.0) is not in the rectangle

Sample Run 3

Enter a point with two coordinates: -5.1 -2.4
Point (-5.1, -2.4) is not in the rectangle

Sample Run 4

Enter a point with two coordinates: -4.9 2.49
Point (-4.9, 2.49) is in the rectangle

Sample Run 5

Enter a point with two coordinates: -4.99 -2.499
Point (-4.99, -2.499) is in the rectangle

Class Name: Exercise03_23

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Answer 1

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SOURCE CODE:

import java.util.Scanner;

public class Exercise03_23{
   public static void main(String[] args) {
       Scanner input = new Scanner(System.in);

       // Prompt the user to enter a point (x, y)
       System.out.print("Enter a point with two coordinates: ");
       double x = input.nextDouble();
       double y = input.nextDouble();

       // Checking whether the point is within the rectangle and centered at (0, 0) with width 10 and height 5
       boolean withinRectangle = (Math.pow(Math.pow(x, 2), 0.5) <= 10 / 2 ) ||
                                       (Math.pow(Math.pow(y, 2), 0.5) <= 5.0 / 2);

       // Display results
       System.out.println("Point (" + x + ", " + y + ") is " +
           ((withinRectangle) ? "in " : "not in ") + "the rectangle");
   }
}

OUTPUT1::

Enter a point with two coordinates: 2
2
Point (2.0, 2.0) is in the rectangle

OUTPUT2::

Enter a point with two coordinates: 6
4
Point (6.0, 4.0) is not in the rectangle

OUTPUT3

Enter a point with two coordinates: -5.1
-2.4
Point (-5.1, -2.4) is not in the rectangle

OOTPUT4:

Enter a point with two coordinates: -4.9
2.49
Point (-4.9, 2.49) is in the rectangle

OUTPUT5

Enter a point with two coordinates: -4.99
-2.499
Point (-4.99, -2.499) is in the rectangle