# 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

Given are two congruent circles with two equal chords. The angle subtended to the centre from the chord of one of the circles is given. The task is to find the angle subtended by the chord to the centre of another circle.

**Examples:**

Input:z = 48Output:48 degreesInput:z = 93Output:93 degrees

**Approach**:

- In triangle
**AOB**and**PXQ****AO = PX**(radii of congruent circles)**BO = QX**(radii of congruent circles)**AB = PQ**(equal chords) - So, triangle
**AOB**is**congruent**with triangle**PXQ** - So, angle
**AOB**= angle**PXQ**

Equal chords of congruent circles subtend equal angles at their centres.

Below is the implementation of the above approach:

## C++

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

*chevron_right*

*filter_none*

## Java

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

*chevron_right*

*filter_none*

## Python 3

`# Python 3 program to find the angle subtended by the chord ` `# to the centre of the circle when the angle subtended ` `# by another equal chord of a congruent circle is given ` ` ` ` ` `def` `anglequichord(z): ` ` ` `print` `(` `"The angle is "` `, z ` ` ` `, ` `" degrees"` `) ` ` ` `# Driver code ` `if` `__name__ ` `=` `=` `"__main__"` `: ` ` ` `z ` `=` `48` ` ` `anglequichord(z) ` ` ` `# This code is contributed by ChitraNayal ` |

*chevron_right*

*filter_none*

## C#

`// C# program to find the angle subtended by the chord ` `// to the centre of the circle when the angle subtended ` `// by another equal chord of a congruent circle is given ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` ` ` `static` `void` `anglequichord(` `int` `z) ` ` ` `{ ` ` ` `Console.WriteLine(` `"The angle is "` `+ z + ` `" degrees"` `); ` ` ` `} ` ` ` ` ` `// Driver code ` ` ` `public` `static` `void` `Main () ` ` ` `{ ` ` ` ` ` `int` `z = 48; ` ` ` `anglequichord(z); ` ` ` `} ` `} ` ` ` `// This code is contributed by AnkitRai01 ` |

*chevron_right*

*filter_none*

**Output:**

The angle is 48 degrees

## Recommended Posts:

- Length of the chord of the circle whose radius and the angle subtended at the center by the chord is given
- 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 when the angle subtended by another chord of same length is given
- Angle between a chord and a tangent when angle in the alternate segment is given
- Distance of chord from center when distance between center and another equal length chord 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
- Find the Diameter or Longest chord of a Circle
- Count ways to divide circle using N non-intersecting chord | Set-2
- Program to calculate area of inner circle which passes through center of outer circle and touches its circumference
- Exterior angle of a cyclic quadrilateral when the opposite interior angle is given
- Find the center of the circle using endpoints of diameter
- Minimum revolutions to move center of a circle to a target
- Check if a circle lies inside another circle or not
- Equation of circle when three points on the circle are 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.