Distance of chord from center when distance between center and another equal length chord is given
Last Updated :
30 May, 2022
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++
#include <bits/stdc++.h>
using namespace std;
void lengequichord( int z)
{
cout << "The distance between the "
<< "chord and the center is "
<< z << endl;
}
int main()
{
int z = 48;
lengequichord(z);
return 0;
}
|
Java
import java.io.*;
class GFG
{
static void lengequichord( int z)
{
System.out.println ( "The distance between the " +
"chord and the center is " + z );
}
public static void main (String[] args)
{
int z = 48 ;
lengequichord(z);
}
}
|
Python 3
def lengequichord(z):
print ( "The distance between the" ,
"chord and the center is" , z )
if __name__ = = "__main__" :
z = 48
lengequichord(z)
|
C#
using System;
class GFG
{
static void lengequichord( int z)
{
Console.WriteLine( "The distance between the " +
"chord and the center is " + z );
}
public static void Main ()
{
int z = 48;
lengequichord(z);
}
}
|
Javascript
<script>
function lengequichord(z)
{
document.write( "The distance between the "
+ "chord and the center is "
+ z + "<br>" );
}
let z = 48;
lengequichord(z);
</script>
|
Output:
The distance between the chord and the center is 48
Time Complexity: O(1)
Auxiliary Space: O(1)
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