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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 : 12 Oct, 2022

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 center 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 using namespace std; float angleOncirCumference(float z){    return (z / 2);} // Driver codeint 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 givendef angleOncirCumference(z):     return (z / 2); # Driver code # Angle on centerangle = 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 givenusing 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

 

Output:

The angle is 32.5 degrees

Time Complexity: O(1)

Auxiliary Space: O(1)

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