Open In App
Related Articles

Distance of chord from center when distance between center and another equal length chord is given

Improve Article
Improve
Save Article
Save
Like Article
Like

Given two equal length chords of a circle and Distance between the centre and one chord. The task is here to find the distance between the centre and the other chord. 
Examples: 
 

Input: 48
Output: 48


Input: 82
Output: 82

 

Below is the implementation of the above approach:
Approach
Let AB & CD be the two equal chords of the circle having center at O.OM be the given distance of the chord AB from center. 
now in triangle AOM and CON
OA = OC (radii of same circle) 
MA = CN (since OM and ON are the perpendicular to the chord and it bisects the chord and AM = MB & CN = CD) 
angle AMO = angle ONC = 90 degrees 
so the triangles are congruent 
so, OM = ON
 

Equal chords of a circle are equidistant from the centre of a circle.

Below is the implementation of the above approach:
 

C++




// C++ program to find the distance of chord
// from center when distance between center
// and another equal length chord is given
 
#include <bits/stdc++.h>
using namespace std;
 
void lengequichord(int z)
{
    cout << "The distance between the "
         << "chord and the center is "
         << z << endl;
}
 
// Driver code
int main()
{
    int z = 48;
    lengequichord(z);
    return 0;
}


Java




// Java program to find the distance of chord
// from center when distance between center
// and another equal length chord is given/
 
import java.io.*;
 
class GFG
{
     
static void lengequichord(int z)
{
    System.out.println ("The distance between the "+
    "chord and the center is "+ z );
}
 
// Driver code
public static void main (String[] args)
{
 
    int z = 48;
    lengequichord(z);
}
}
 
// This code is contributed by jit_t.


Python 3




# Python 3 program to find the distance of chord
# from center when distance between center
# and another equal length chord is given
 
def lengequichord(z):
    print("The distance between the" ,
          "chord and the center is" , z )
 
# Driver code
if __name__ == "__main__":
    z = 48
    lengequichord(z)
 
# This code is contributed
# by ChitraNayal


C#




// C# program to find the distance of chord
// from center when distance between center
// and another equal length chord is given
using System;
 
class GFG
{
     
    static void lengequichord(int z)
    {
        Console.WriteLine("The distance between the "+
        "chord and the center is "+ z );
    }
     
    // Driver code
    public static void Main ()
    {
     
        int z = 48;
        lengequichord(z);
    }
}
 
// This code is contributed by AnkitRai01


Javascript




<script>
 
// JavaScript program to find the distance of chord
// from center when distance between center
// and another equal length chord is given
 
function lengequichord(z)
{
    document.write("The distance between the "
        + "chord and the center is "
        + z + "<br>");
}
 
// Driver code
    let z = 48;
    lengequichord(z);
 
// This code is contributed by Surbhi Tyagi.
 
</script>


Output: 

The distance between the chord and the center is 48

 

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 geeks!

Last Updated : 30 May, 2022
Like Article
Save Article
Previous
Next
Similar Reads
Complete Tutorials