# Angle between a chord and a tangent when angle in the alternate segment is given

Given a circle whose chord and tangent meet at a particular point. The angle in the alternate segment is given. The task here is to find the angle between the chord and the tangent.

**Examples:**

Input:z = 48Output:48 degreesInput:z = 64Output:64 degrees

**Approach**:

- Let, angle
**BAC**is the given angle in the alternate segment. - let, the angle between the chord and circle = angle
**CBY**=**z** - as line drawn from center on the tangent is perpendicular,
- so, angle
**OBC = 90-z** - as,
**OB**=**OC**= radius of the circle - so, angle
**OCB = 90-z** - now, in triangle
**OBC**,

**angle OBC + angle OCB + angle BOC = 180**

angle BOC = 180 – (90-z) – (90-z)

angle BOC = 2z - as angle at the circumference of a circle is half the angle at the centre subtended by the same arc,

so, angle**BAC = z** - hence,
**angle BAC = angle CBY**

Below is the implementation of the above approach:

## C++

`// C++ program to find the angle ` `// between a chord and a tangent ` `// when angle in the alternate segment is given ` ` ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `void` `anglechordtang(` `int` `z) ` `{ ` ` ` `cout << ` `"The angle between tangent"` ` ` `<< ` `" and the chord is "` ` ` `<< z << ` `" degrees"` `<< endl; ` `} ` ` ` `// Driver code ` `int` `main() ` `{ ` ` ` `int` `z = 48; ` ` ` `anglechordtang(z); ` ` ` `return` `0; ` `} ` |

*chevron_right*

*filter_none*

## Java

`// Java program to find the angle ` `// between a chord and a tangent ` `// when angle in the alternate segment is given ` `import` `java.io.*; ` ` ` `class` `GFG ` `{ ` ` ` ` ` `static` `void` `anglechordtang(` `int` `z) ` ` ` `{ ` ` ` `System.out.print( ` `"The angle between tangent"` ` ` `+ ` `" and the chord is "` ` ` `+ z + ` `" degrees"` `); ` ` ` `} ` ` ` ` ` `// Driver code ` ` ` `public` `static` `void` `main (String[] args) ` ` ` `{ ` ` ` `int` `z = ` `48` `; ` ` ` `anglechordtang(z); ` ` ` `} ` `} ` ` ` `// This code is contributed by anuj_67.. ` |

*chevron_right*

*filter_none*

## Python3

`# Python3 program to find the angle ` `# between a chord and a tangent ` `# when angle in the alternate segment is given ` `def` `anglechordtang(z): ` ` ` ` ` `print` `(` `"The angle between tangent"` `, ` ` ` `"and the chord is"` `, z , ` `"degrees"` `); ` ` ` `# Driver code ` `z ` `=` `48` `; ` `anglechordtang(z); ` ` ` `# This code is contributed ` `# by Princi Singh ` |

*chevron_right*

*filter_none*

## C#

`// C# program to find the angle ` `// between a chord and a tangent ` `// when angle in the alternate segment is given ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` ` ` `static` `void` `anglechordtang(` `int` `z) ` ` ` `{ ` ` ` `Console.WriteLine( ` `"The angle between tangent"` ` ` `+ ` `" and the chord is "` ` ` `+ z + ` `" degrees"` `); ` ` ` `} ` ` ` ` ` `// Driver code ` ` ` `public` `static` `void` `Main () ` ` ` `{ ` ` ` `int` `z = 48; ` ` ` `anglechordtang(z); ` ` ` `} ` `} ` ` ` `// This code is contributed by anuj_67.. ` |

*chevron_right*

*filter_none*

**Output:**

The angle between tangent and the chord 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
- Angle subtended by the chord when the angle subtended by another chord of same length is given
- Length of the chord of the circle whose radius and the angle subtended at the center by the chord is given
- Exterior angle of a cyclic quadrilateral when the opposite interior angle is given
- Angle between two Planes in 3D
- Arc length from given Angle
- Find if it's possible to rotate the page by an angle or not.
- Angle subtended by an arc at the centre of a circle
- Check if it is possible to create a polygon with a given angle
- Find other two sides of a right angle triangle
- Angle between 3 given vertices in a n-sided regular polygon
- Find other two sides and angles of a right angle triangle
- Area of a largest square fit in a right angle triangle
- Maximum number of squares that can fit in a right angle isosceles triangle

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.