# 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; ` `} ` |

*chevron_right*

*filter_none*

## 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. ` |

*chevron_right*

*filter_none*

## 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 ` |

*chevron_right*

*filter_none*

## 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 ` |

*chevron_right*

*filter_none*

**Output:**

The distance between the chord and the center is 48

## Recommended Posts:

- Length of the chord of the circle whose radius and the angle subtended at the center by the chord is given
- Angle subtended by the chord to center of the circle when the angle subtended by the another equal chord of a congruent circle is given
- Distance between centers of two intersecting circles if the radii and common chord length is given
- Length of the chord the circle if length of the another chord which is equally inclined through the diameter is given
- Shortest distance from the centre of a circle to a chord
- Angle subtended by the chord when the angle subtended by another chord of same length is given
- Program to calculate angle on circumference subtended by the chord when the central angle subtended by the chord is given
- Count paths with distance equal to Manhattan distance
- Find the Diameter or Longest chord of a Circle
- Count ways to divide circle using N non-intersecting chord | Set-2
- Find the distance covered to collect items at equal distances
- Time until distance gets equal to X between two objects moving in opposite direction
- Find the center of the circle using endpoints of diameter
- Minimum revolutions to move center of a circle to a target
- Angle between a chord and a tangent when angle in the alternate segment is given

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.