# 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; ` `} ` |

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## 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.. ` |

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## 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

## 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.. ` |

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**Output:**

The angle between tangent and the chord is 48 degrees

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