Program to calculate angle on circumference subtended by the chord when the central angle subtended by the chord is given

Given a circle having a chord and an angle subtended by chord on center of the circle. The task here is to find the measure of the angle subtended by given chord on the circumference.

**Examples:**

Input:= 90Output:ABC = 45.00 degreesInput:= 65Output:ABC = 32.50 degrees

**Approach:**

- Let
**AC**be an chord of a circle with centre**O**, and let**C**be any point on the circumference anywhere. - Let, angle
**AOC**(on center) is the given*** QuickLaTeX cannot compile formula: *** Error message: Error: Nothing to show, formula is empty

.

- So angle should be on the circumference,
**angle ABC = angle AOC/2**

An angle at the circumference of a circle is the half angle at the centre subtended by the same chord.

Below is the implementation of the above approach:

## C++

`// C++ Program to calculate angle` `// on the circumference subtended` `// by the chord when the central angle` `// subtended by the chord is given` `#include <iostream>` `using` `namespace` `std;` `float` `angleOncirCumference(` `float` `z)` `{` ` ` `return` `(z / 2);` `}` `// Driver code` `int` `main()` `{` ` ` `// Angle on center` ` ` `float` `angle = 65;` ` ` `float` `z = angleOncirCumference(angle);` ` ` `cout << ` `"The angle is "` `<< (z) << ` `" degrees"` `;` ` ` `return` `0;` `}` `// This code is contributed by jit_t` |

## Java

`// Java Program to calculate angle on the circumference` `// subtended by the chord when the central angle` `// subtended by the chord is given` `class` `GFG {` ` ` `static` `float` `angleOncirCumference(` `float` `z)` ` ` `{` ` ` `return` `(z / ` `2` `);` ` ` `}` ` ` `// Driver code` ` ` `public` `static` `void` `main(String[] args)` ` ` `{` ` ` `// Angle on center` ` ` `float` `angle = ` `65` `;` ` ` `float` `z = angleOncirCumference(angle);` ` ` `System.out.println(` `"The angle is "` ` ` `+ z + ` `" degrees"` `);` ` ` `}` `}` |

## Python3

`# Python3 Program to calculate angle` `# on the circumference subtended` `# by the chord when the central angle` `# subtended by the chord is given` `def` `angleOncirCumference(z):` ` ` `return` `(z ` `/` `2` `);` `# Driver code` `# Angle on center` `angle ` `=` `65` `;` `z ` `=` `angleOncirCumference(angle);` `print` `(` `"The angle is"` `, (z), ` `"degrees"` `);` `# This code is contributed by Rajput-Ji` |

## C#

`// C# Program to calculate angle on the circumference` `// subtended by the chord when the central angle` `// subtended by the chord is given` `using` `System;` ` ` `public` `class` `GFG` `{` ` ` `static` `float` `angleOncirCumference(` `float` `z)` ` ` `{` ` ` `return` `(z / 2);` ` ` `}` ` ` `// Driver code` ` ` `public` `static` `void` `Main(String[] args)` ` ` `{` ` ` `// Angle on center` ` ` `float` `angle = 65;` ` ` `float` `z = angleOncirCumference(angle);` ` ` `Console.WriteLine(` `"The angle is "` ` ` `+ z + ` `" degrees"` `);` ` ` `}` `}` `// This code is contributed by Rajput-Ji` |

## Javascript

`<script>` `// JavaScript Program to calculate angle` `// on the circumference subtended` `// by the chord when the central angle` `// subtended by the chord is given` `function` `angleOncirCumference(z)` `{` ` ` `return` `(z / 2);` `}` `// Driver code` ` ` `// Angle on center` ` ` `let angle = 65;` ` ` `let z = angleOncirCumference(angle);` ` ` `document.write(` `"The angle is "` `+ (z) + ` `" degrees"` `);` `// This code is contributed by Surbhi Tyagi.` `</script>` |

**Output:**

The angle is 32.5 degrees

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the **DSA Self Paced Course** at a student-friendly price and become industry ready.