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:  = 90
Output: ABC = 45.00 degrees

Input:  = 65
Output: ABC = 32.50 degrees

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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 $\theta$ .
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 

Output:

The angle is 32.5 degrees

My Personal Notes

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

C++

Java

Python3

C#

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