# Find the center of the circle using endpoints of diameter in C++

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Suppose we have two endpoints of diameter of a circle. These are (x1, y1) and (x2, y2), we have to find the center of the circle. So if two points are (-9, 3) and (5, -7), then the center is at location (-2, -2).

We know that the mid points of two points are −

$$(x_{m},y_{m})=\left(\frac{(x_{1}+x_{2})}{2},\frac{(y_{1}+y_{2})}{2}\right)$$

## Example

Live Demo

#include<iostream>
using namespace std;
class point{
public:
float x, y;
point(float x, float y){
this->x = x;
this->y = y;
}
void display(){
cout << "(" << x << ", " <<y<<")";
}
};
point center(point p1, point p2) {
int x, y;
x = (float)(p1.x + p2.x) / 2;
y = (float)(p1.y + p2.y) / 2;
point res(x, y);
return res;
}
int main() {
point p1(-9.0, 3.0), p2(5.0, -7.0);
point res = center(p1, p2);
cout << "Center is at: ";
res.display();
}

## Output

Center is at: (-2, -2)
Updated on 19-Dec-2019 12:20:38