# 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++ program to find the distance of chord ` `// from center when distance between center ` `// and another equal length chord is given ` ` `  `#include ` `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 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 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# 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  `

Output:
```The distance between the chord and the center is 48
```

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Improved By : jit_t, AnkitRai01, chitranayal

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