Angle subtended by the chord to center of the circle when the angle subtended by the another equal chord of a congruent circle is given

Given are two congruent circles with two equal chords. The angle subtended to the centre from the chord of one of the circles is given. The task is to find the angle subtended by the chord to the centre of another circle.

Examples:

Input: z = 48
Output: 48 degrees

Input: z = 93
Output: 93 degrees

Approach:

  • In triangle AOB and PXQ
    AO = PX(radii of congruent circles)
    BO = QX(radii of congruent circles)
    AB = PQ(equal chords)
    
  • So, triangle AOB is congruent with triangle PXQ
  • So, angle AOB = angle PXQ

Equal chords of congruent circles subtend equal angles at their centres.

Below is the implementation of the above approach:

C++

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// C++ program to find the angle subtended by the chord
// to the centre of the circle when the angle subtended
// by another equal chord of a congruent circle is given
  
#include <bits/stdc++.h>
using namespace std;
  
void anglequichord(int z)
{
    cout << "The angle is " << z
         << " degrees" << endl;
}
  
// Driver code
int main()
{
    int z = 48;
    anglequichord(z);
    return 0;
}

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Java

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// Java program to find the angle subtended by the chord
// to the centre of the circle when the angle subtended
// by another equal chord of a congruent circle is given
  
import java.io.*;
  
class GFG 
{
      
static void anglequichord(int z)
    System.out.println ("The angle is " + z + " degrees");
}
  
// Driver code
public static void main (String[] args) 
{
  
    int z = 48;
    anglequichord(z);
  
}
}

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Python 3

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# Python 3 program to find the angle subtended by the chord
# to the centre of the circle when the angle subtended
# by another equal chord of a congruent circle is given
  
  
def anglequichord(z):
    print ("The angle is " , z
        , " degrees")
  
# Driver code
if __name__ == "__main__":
    z = 48
    anglequichord(z)
  
# This code is contributed by ChitraNayal

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C#

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// C# program to find the angle subtended by the chord 
// to the centre of the circle when the angle subtended 
// by another equal chord of a congruent circle is given 
using System;
  
class GFG 
      
    static void anglequichord(int z) 
    
        Console.WriteLine("The angle is " + z + " degrees"); 
    
      
    // Driver code 
    public static void Main () 
    
      
        int z = 48; 
        anglequichord(z); 
    
  
// This code is contributed by AnkitRai01

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Output:

The angle is 48 degrees


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Improved By : jit_t, AnkitRai01, Ita_c



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