# 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:48Output:48Input:82Output: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; ` `} ` |

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## 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. ` |

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## 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 ` |

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## 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 ` |

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**Output:**

The distance between the chord and the center is 48

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