Program to calculate length of diagonal of a square

0 0 2 minutes read

Given a positive integer S, the task is to find the length of diagonal of a square having sides of length S.

Examples:

Input: S = 10
Output: 14.1421
Explanation: The length of the diagonal of a square whose sides are of length 10 is 14.1421

Input: S = 24
Output: 33.9411

Approach: The given problem can be solved based on the mathematical relation between the length of sides of a square and the length of diagonal of a square as illustrated below:

As visible from the above image, the diagonal and the two sides of the square form a right-angled triangle. Therefore, by applying Pythagoras Theorem:
(hypotenuse)² = (base)² + (perpendicular)², where D and S are length of the diagonal and the square.

Therefore,
=> $D^{2} = S^{2} + S^{2}$
=> $D^{2} = 2*S^{2}$
=> $D = S \sqrt 2$

Therefore, simply calculate the length of the diagonal using the above-derived relation.

Below is the implementation of the above approach:

C++

// C++ program for the above approach
#include <bits/stdc++.h>
using namespace std;
 
// Function to find the length of the
// diagonal of a square of a given side
double findDiagonal(double s)
{
    return sqrt(2) * s;
}
 
// Driver Code
int main()
{
    double S = 10;
    cout << findDiagonal(S);
 
    return 0;
}

Java

// Java program for the above approach
import java.util.*;
 
class GFG{
 
// Function to find the length of the
// diagonal of a square of a given side
static double findDiagonal(double s)
{
    return (double)Math.sqrt(2) * s;
}
 
// Driver Code
public static void main(String[] args)
{
    double S = 10;
     
    System.out.print(findDiagonal(S));
}
}
 
// This code is contributed by splevel62

Python3

# Python3 program for the above approach
import math
 
# Function to find the length of the
# diagonal of a square of a given side
def findDiagonal(s):
     
    return math.sqrt(2) * s
 
# Driver Code
if __name__ == "__main__":
 
    S = 10
     
    print(findDiagonal(S))
 
# This code is contributed by chitranayal

C#

// C# program for the above approach
using System;
public class GFG
{
 
// Function to find the length of the
// diagonal of a square of a given side
static double findDiagonal(double s)
{
    return (double)Math.Sqrt(2) * s;
}
 
// Driver Code
public static void Main(String[] args)
{
    double S = 10;
     
    Console.Write(findDiagonal(S));
}
}
 
// This code is contributed by 29AjayKumar

Javascript

<script>
 
// JavaScript program for the above approach
 
// Function to find the length of the
// diagonal of a square of a given side
function findDiagonal(s)
{
    return Math.sqrt(2) * s;
}
 
// Driver Code
var S = 10;
 
document.write(findDiagonal(S).toFixed(6));
 
// This code contributed by shikhasingrajput 
 
</script>

Output:

14.1421

Time Complexity: O(1)
Auxiliary Space: O(1)

Feeling lost in the world of random DSA topics, wasting time without progress? It’s time for a change! Join our DSA course, where we’ll guide you on an exciting journey to master DSA efficiently and on schedule.
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 zambiatek!