Challenge 4: Calculate Distance Between Points

Problem Statement

You have to implement a class called Point that represents a specific point in the x-y plane. It should contain the following:

• fields:

  • x( integer type)

  • y( integer type)

• methods:

  • default constructor that initializes the point at $(0, 0)$

  • parameterized constructor that takes input x and y and initializes the point to the respective coordinates.

  • float distance(), a method which calculates the distance of the point (represented by the object) from the origin, i.e. $(0, 0)$

  • float distance(x1, y1), a method which calculates the distance between the point represented by the class object and $(x1, y1)$

The distance between two points $(x, y)$ and $(x1, y1)$ can be calculated by the following formula:

$$\text{distance} = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}$$

Sample Input

    Point p1 = new Point(5, 5);
    

Sample Output

    distance()  => 7.071
    distance(2, 1)  => 5.0