# Angle subtended by the chord when the angle subtended by another chord of same length is given

Given a circle having two chords of equal length. The angle subtended by one of the chords to the centre is given. The task here is to find the measure of the angle subtended by another chord at the centre.

**Examples:**

Input:48Output:48 degreesInput:82Output:82 degrees

**Approach**:

Let **AC** & **BD** are the two equal chords of the circle having center at **O**.let the angle subtended by the chord **AC** be **x** degrees.

now,

in triangle **AOC** & **BOD**,

**AO = OB**(radii of same circle)

**AB = CD**(equal chords)

**OC = OD**(radii of same circle)

so, the triangles **AOC** & **BOD** are ** congruent** to each other

so, angle **AOC** = angle **BOD**

Equal chords of a circle subtend equal angles at the centre.

Below is the implementation of the above approach:

## C++

`// C++ program to find the angle ` `// subtended at the center by the chord ` `// when the angle subtended at center ` `// by another chord of equal length is given ` ` ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `void` `angleequichord(` `int` `z) ` `{ ` ` ` `cout << ` `"The angle subtended at the center is "` ` ` `<< z << ` `" degrees"` `<< endl; ` `} ` ` ` `// Driver code ` `int` `main() ` `{ ` ` ` `int` `z = 48; ` ` ` `angleequichord(z); ` ` ` `return` `0; ` `} ` |

*chevron_right*

*filter_none*

## Java

`// Java program to find the angle ` `// subtended at the center by the chord ` `// when the angle subtended at center ` `// by another chord of equal length is given ` ` ` `import` `java.io.*; ` ` ` `class` `GFG ` `{ ` ` ` `static` `void` `angleequichord(` `int` `z) ` `{ ` ` ` `System.out.println ( ` `"The angle subtended at the center is "` `+ ` ` ` `z + ` `" degrees"` `); ` `} ` ` ` `// Driver code ` `public` `static` `void` `main (String[] args) ` `{ ` ` ` ` ` `int` `z = ` `48` `; ` ` ` `angleequichord(z); ` `} ` `} ` ` ` `// This code is contributed by ajit. ` |

*chevron_right*

*filter_none*

## Python3

`# Python3 program to find the angle ` `# subtended at the center by the chord ` `# when the angle subtended at center ` `# by another chord of equal length is given ` ` ` `def` `angleequichord(z) : ` ` ` ` ` `print` `(` `"The angle subtended at"` `, ` ` ` `"the center is"` `, z ,` `"degrees"` `); ` ` ` `# Driver code ` `if` `__name__ ` `=` `=` `"__main__"` `: ` ` ` ` ` `z ` `=` `48` `; ` ` ` `angleequichord(z); ` ` ` `# This code is contributed by AnkitRai01 ` |

*chevron_right*

*filter_none*

## C#

`// C# program to find the angle ` `// subtended at the center by the chord ` `// when the angle subtended at center ` `// by another chord of equal length is given ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` `static` `void` `angleequichord(` `int` `z) ` `{ ` ` ` `Console.WriteLine( ` `"The angle subtended at the center is "` `+ ` ` ` `z + ` `" degrees"` `); ` `} ` ` ` `// Driver code ` `public` `static` `void` `Main (String[] args) ` `{ ` ` ` ` ` `int` `z = 48; ` ` ` `angleequichord(z); ` `} ` `} ` ` ` `/* This code contributed by PrinciRaj1992 */` |

*chevron_right*

*filter_none*

**Output:**

The angle subtended at the center is 48 degrees

## Recommended Posts:

- Program to calculate angle on circumference subtended by the chord when the central angle subtended 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
- Length of the chord of the circle whose radius and the angle subtended at the center by the chord is given
- Angle between a chord and a tangent when angle in the alternate segment is given
- Angle subtended by an arc at the centre of a circle
- Length of the chord the circle if length of the another chord which is equally inclined through the diameter is given
- Distance of chord from center when distance between center and another equal length chord is given
- Exterior angle of a cyclic quadrilateral when the opposite interior angle is given
- Distance between centers of two intersecting circles if the radii and common chord length is given
- Arc length from given Angle
- Find the Diameter or Longest chord of a Circle
- Shortest distance from the centre of a circle to a chord
- Count ways to divide circle using N non-intersecting chord | Set-2
- Angle between two Planes in 3D
- Find if it's possible to rotate the page by an angle or not.

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.