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Find the center of the circle using endpoints of diameter
  • Last Updated : 14 May, 2021

Given two endpoint of diameter of a circle (x1, y1) and (x2, y2) find out the centre of a circle. 
Examples : 
 

Input  : x1 = -9, y1 = 3, and 
         x2 = 5, y2 = –7
Output : -2, –2

Input  :  x1 = 5, y1 = 3 and 
          x2 = –10 y2 = 4
Output : –2.5, 3.5

 

Midpoint Formula: 
The midpoint of two points, (x1, y2) and (x2, y2) is : M = ((x 1 + x 2) / 2, (y 1 + y 2) / 2) 
The centre of the circle is the mid point of its diameter so we calculate the mid point of its diameter by using midpoint formula. 
 

 



C++




// C++ program to find the
// center of the circle
#include <iostream>
using namespace std;
 
// function to find the
// center of the circle
void center(int x1, int x2,
            int y1, int y2)
{
     
    cout << (float)(x1 + x2) / 2 <<
          ", " << (float)(y1 + y2) / 2;
}
 
// Driven Program
int main()
{
    int x1 = -9, y1 = 3, x2 = 5, y2 = -7;
    center(x1, x2, y1, y2);
    return 0;
}

Java




// Java program to find the
// center of the circle
class GFG {
     
    // function to find the
    // center of the circle
    static void center(int x1, int x2,
                            int y1, int y2)
    {
         
        System.out.print((float)(x1 + x2) / 2
            + ", " + (float)(y1 + y2) / 2);
    }
     
    // Driver Program to test above function
    public static void main(String arg[]) {
         
        int x1 = -9, y1 = 3, x2 = 5, y2 = -7;
        center(x1, x2, y1, y2);
    }
}
 
// This code is contributed by Anant Agarwal.

Python3




# Python3 program to find
# the center of the circle
 
# Function to find the
# center of the circle
def center(x1, x2, y1, y2) :
 
    print(int((x1 + x2) / 2), end= "")
    print(",", int((y1 + y2) / 2) )
 
# Driver Code
x1 = -9; y1 = 3; x2 = 5; y2 = -7
center(x1, x2, y1, y2)
 
# This code is contributed by Smitha Dinesh Semwal

C#




// C# program to find the
// center of the circle
using System;
 
class GFG {
     
    // function to find the
    // center of the circle
    static void center(int x1, int x2,
                            int y1, int y2)
    {
         
        Console.WriteLine((float)(x1 + x2) / 2
                + ", " + (float)(y1 + y2) / 2);
    }
     
    // Driver Program to test above function
    public static void Main() {
         
        int x1 = -9, y1 = 3, x2 = 5, y2 = -7;
        center(x1, x2, y1, y2);
    }
}
 
// This code is contributed by vt_m.

PHP




<?php
// PHP program to find the
// center of the circle
 
// function to find the
// center of the circle
function center($x1, $x2, $y1, $y2)
{
     
    echo((float)($x1 + $x2) / 2 . ", " .
                (float)($y1 + $y2) / 2);
}
 
// Driven Code
$x1 = -9; $y1 = 3; $x2 = 5; $y2 = -7;
center($x1, $x2, $y1, $y2);
 
// This code is contributed by Ajit.
?>

Javascript




<script>
 
// javascript program to find the
// center of the circle
 
// function to find the
    // center of the circle
    function center(x1, x2,
                     y1, y2)
    {
           
        document.write((x1 + x2) / 2
            + ", " + (y1 + y2) / 2);
    }
 
// Driver Function
 
         let x1 = -9, y1 = 3, x2 = 5, y2 = -7;
        center(x1, x2, y1, y2);
     
    // This code is contributed by susmitakundugoaldanga.
</script>

Output : 
 

-2, -2

 

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