# 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 . - 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 ` |

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## 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"` `); ` ` ` `} ` `} ` |

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## 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 ` |

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**Output:**

The angle is 32.5 degrees

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