Please code in c++ and explain step by step ### Calculating the Distance Between Two Points#### Problem StatementWrite a program that prompts the user to enter two points \((x1, y1)\) and \((x2, y2)\) and displays their distances. The formula for computing the distance is:\[ \text{distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \]where the result should be displayed to 15 decimal places. Use `cout` precision for formatting.**Tip**: You can use `pow(a, 0.5)` to compute \(\sqrt{a}\).**Note**: User input can be any content and it's bold and italicized for clarity.#### Example Output```Enter x1 and y1: 1.5 -3.4Enter x2 and y2: 4 5The distance of the two points is 8.764131445842194.```This example shows how the program should interact with the user, prompting for two points and then calculating and displaying the distance between them. The points entered by the user are \((1.5, -3.4)\) and \((4, 5)\). The calculated distance to 15 decimal places is approximately \(8.764131445842194\).### Explanation of the FormulaThe formula used for calculating the distance between two points in a Cartesian plane is derived from the Pythagorean theorem. It calculates the Euclidean distance between the points \((x1, y1)\) and \((x2, y2)\) by determining the difference in the x-coordinates and y-coordinates, squaring those differences, summing them, and then taking the square root of that sum.### Implementation Tips1. **Prompting for Input**: Make sure your program accepts input for both coordinates of each point.2. **Calculating the Distance**: Use the given formula directly in your code.3. **Formatting the Output**: Use appropriate functions to ensure the distance is displayed to 15 decimal places.

Here I have taken input from the user and then stored it into 4 different variables. Next, I have…

1. Write a program that prompts the user to enter two points (x1, yl) and (x2, y2) and displays their distances. The formula for computing the distance is √√(x₂-x₂)² + (y₂ − y₁)² (15 decimal places, use cout precision). Note you can use pow (a, 0.5) to compute √a. User input can be any content and it's bold and italicized for clarity. Example Output: Enter x1 and yl: 1.5 -3.4 Enter x2 and y2: 4 5 The distance of the two points is 8.764131445842194.

1. Write a program that prompts the user to enter two points (x1, yl) and (x2, y2) and displays their distances. The formula for computing the distance is √√(x₂-x₂)² + (y₂ − y₁)² (15 decimal places, use cout precision). Note you can use pow (a, 0.5) to compute √a. User input can be any content and it's bold and italicized for clarity. Example Output: Enter x1 and yl: 1.5 -3.4 Enter x2 and y2: 4 5 The distance of the two points is 8.764131445842194.

Computer Networking: A Top-Down Approach (7th Edition)

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Please code in c++ and explain step by step

### Calculating the Distance Between Two Points

#### Problem Statement
Write a program that prompts the user to enter two points \((x1, y1)\) and \((x2, y2)\) and displays their distances. The formula for computing the distance is:

\[ \text{distance} = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \]

where the result should be displayed to 15 decimal places. Use `cout` precision for formatting.

**Tip**: You can use `pow(a, 0.5)` to compute \(\sqrt{a}\).

**Note**: User input can be any content and it's bold and italicized for clarity.

#### Example Output

```
Enter x1 and y1: 1.5 -3.4
Enter x2 and y2: 4 5
The distance of the two points is 8.764131445842194.
```

This example shows how the program should interact with the user, prompting for two points and then calculating and displaying the distance between them. The points entered by the user are \((1.5, -3.4)\) and \((4, 5)\). The calculated distance to 15 decimal places is approximately \(8.764131445842194\).

### Explanation of the Formula
The formula used for calculating the distance between two points in a Cartesian plane is derived from the Pythagorean theorem. It calculates the Euclidean distance between the points \((x1, y1)\) and \((x2, y2)\) by determining the difference in the x-coordinates and y-coordinates, squaring those differences, summing them, and then taking the square root of that sum.

### Implementation Tips
1. **Prompting for Input**: Make sure your program accepts input for both coordinates of each point.
2. **Calculating the Distance**: Use the given formula directly in your code.
3. **Formatting the Output**: Use appropriate functions to ensure the distance is displayed to 15 decimal places.

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