Euclidean Distance Calculation || C Lab Programs

Program 01: Euclidean Distance Calculation

Problem Statement:: A robot needs to find how far it must travel between two points on a 2D plane. Develop a C program to calculate the straight-line distance between the given coordinates. 

Problem Description:

• Input: Four floating-point numbers representing coordinates (x1, y1) and (x2, y2).

• Output: The straight-line (Euclidean) distance formatted to two decimal places.

• Constraints: Coordinates can be any valid floating-point numbers; the output must be non-negative.

• Method: Utilize the Euclidean distance formula:

  
  
  $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$. 

Pgm Logic:

1. Start.

2. Input the coordinates of the first point (x1, y1).

3. Input the coordinates of the second point (x2, y2).

4. Compute the distance using the formula: sqrt((x2-x1)*(x2-x1) + (y2-y1)*(y2-y1)).

5. Display the calculated distance.

6. Stop. 

Program Code:

// Purpose: To calculate the straight-line distance between two points on a 2D plane.

#include <stdio.h>

#include <math.h>

void main()

{

    float x1, y1, x2, y2, distance;

    printf("Enter x1 and y1 (coordinates of the first point): ");

    scanf("%f %f", &x1, &y1);

    printf("Enter x2 and y2 (coordinates of the second point): ");

    scanf("%f %f", &x2, &y2);

    distance = sqrt((x2 - x1)*(x2 - x1) + (y2 - y1)*(y2 - y1));

    printf("The straight-line distance between the two points is: %.2f\n", distance);

}

Output: 

Enter x1 and y1 (coordinates of the first point): 0 0 

Enter x2 and y2 (coordinates of the second point): 3 4 

The straight-line distance between the two points is: 5.00 

RESULT: Thus the program has been executed and the output was verified. 

Remarks: This program was compiled and run in the Code::Blocks IDE. It requires the <math.h> header for the sqrt function. 

Program Explanation: The program reads two pairs of coordinates from the user. It then applies the Pythagorean theorem-based distance formula to find the gap between the points and displays the result with two-decimal precision.

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