Distance of chord from center when distance between center and another equal length chord is given
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> |
The distance between the chord and the center is 48
Time Complexity: O(1)
Auxiliary Space: O(1)
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