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

  • Difficulty Level : Hard
  • Last Updated : 09 Mar, 2021

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.
 

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Examples: 
 



Input: \( \theta \) = 90
Output: ABC = 45.00 degrees
Input: \( \theta \) = 65
Output: 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

 




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