Go: package main

import (
	"fmt"
	"math"
)

func main() {
	n := scanInt()
	for i := 0; i < n; i++ {
		circleTriangle()
	}
}

func scanInt() int {
	var n int
	fmt.Scanf("%d", &n)
	return n
}

func circleTriangle() {
	var x1, y1, x2, y2, x3, y3 float64
	fmt.Scanf("%f%f%f%f%f%f", &x1, &y1, &x2, &y2, &x3, &y3)
	a := 2 * (x1 - x2)
	b := 2 * (y1 - y2)
	c := 2 * (x1 - x3)
	d := 2 * (y1 - y3)
	e := x1*x1 - x2*x2 + y1*y1 - y2*y2
	f := x1*x1 - x3*x3 + y1*y1 - y3*y3

	px := (d*e - b*f) / (a*d - b*c)
	py := (a*f - c*e) / (a*d - b*c)

	r := math.Sqrt((x1-px)*(x1-px) + (y1-py)*(y1-py))
	fmt.Printf("%.3f %.3f %.3f\n", px, py, r)
}

C++: #include <iostream>
#include <complex>
#include <cassert>
#include <vector>
#include <iomanip>

using namespace std;

typedef complex<double> P;

#define loop(i,a,b) for(int i=(a); i<(int)(b); i++)
#define rep(i,b) loop(i,0,b)

const double eps = 1e-10;

double cross(const P& a, const P& b) {
    return imag(conj(a)*b);
}
double dot(const P& a, const P& b) {
    return real(conj(a)*b);
}

struct L : public vector<P> {
    L(const P &a, const P &b) {
        push_back(a); push_back(b);
    }
};

P crosspoint(const L &l, const L &m) {
    double A = cross(l[1] - l[0], m[1] - m[0]);
    double B = cross(l[1] - l[0], l[1] - m[0]);
    if (abs(A) < eps && abs(B) < eps) return m[0]; // same line
    if (abs(A) < eps) assert(false); // !!!PRECONDITION NOT SATISFIED!!!
    return m[0] + B / A * (m[1] - m[0]);
}

int main(){
    cout << setprecision(3) << fixed;
    P ps[3];
    int n; cin >> n;
    rep(tt, n){
        rep(i, 3){
            double x, y; cin >> x >> y;
            ps[i] = P(x, y);
        }
        P mid1 = (ps[0] + ps[1]) / 2.0, mid2 = (ps[0] + ps[2]) / 2.0;
        L l1(mid1, mid1 + (ps[0] - ps[1])*P(0, 1)), l2(mid2, mid2 + (ps[0] - ps[2])*P(0, 1));
        P cp = crosspoint(l1, l2);
        cout << cp.real() << " " << cp.imag() << " " << abs(cp - ps[0]) << endl;
    }
}

C++: #include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;

double sisya(double x)
{
	int a = static_cast<int>(x * 10000);
	x = static_cast<double>(static_cast<int>(x * 1000)) / 1000;
	if(a < 0 && a%10 <= -5)
		return x-0.001;
	else if(a%10 >= 5)
		return x+0.001;
	return x;
}

int main()
{
	int n;
	double x1,x2,x3,y1,y2,y3;
	cin >> n;
	for(int i=0;i<n;i++){
		cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
		double px = ((y1-y2)*(x3*x3+y3*y3-x1*x1-y1*y1)-(y1-y3)*(x2*x2+y2*y2-x1*x1-y1*y1))/(2*((y1-y3)*(x1-x2)-(y1-y2)*(x1-x3)));
		double py = ((x1-x2)*(x3*x3+y3*y3-x1*x1-y1*y1)-(x1-x3)*(x2*x2+y2*y2-x1*x1-y1*y1))/(2*((y1-y2)*(x1-x3)-(y1-y3)*(x1-x2)));
		double r  = sqrt((px-x1)*(px-x1)+(py-y1)*(py-y1));
		cout << setprecision(3) << fixed << sisya(px) << " " << setprecision(3) << fixed << sisya(py) << " " << setprecision(3) << fixed << sisya(r) <<endl;
	}
	return 0;
}

C++: #include <iostream>
#include <vector>
#include <math.h>

using namespace std;

int main(){
  double x1,y1,x2,y2,x3,y3;
  vector<double> x1l,y1l,x2l,y2l,x3l,y3l;
  int n;

  cin >> n;

  for(int i=0; i<n; i++){
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
    x1l.push_back(x1);
    y1l.push_back(y1);
    x2l.push_back(x2);
    y2l.push_back(y2);
    x3l.push_back(x3);
    y3l.push_back(y3);
  }

  double ex,ey,fx,fy;
  double a,b,c,d,e,f,r;
  double cx,cy;

  for(int i=0; i<n; i++){
    x1=x1l[i];
    y1=y1l[i];
    x2=x2l[i];
    y2=y2l[i];
    x3=x3l[i];
    y3=y3l[i];

    a = x1*x1+y1+y1;
    b = x2*x2+y2+y2;
    c = x3*x3+y3+y3; 
    d = 0.5/(x1*y2-x2*y1+x2*y3-x3*y2+x3*y1-x1*y3);
    e = d*(a*y2-b*y1+b*y3-c*y2+c*y1-a*y3);
    f = d*(x1*b-x2*a+x2*c-x3*b+x3*a-x1*c);
    r = sqrt((e-x1)*(e-x1)+(f-y1)*(f-y1));
    printf("%0.3f %0.3f %0.3f\n",e,f,r);
  }

  r

C++: #include <iostream>
#include <iomanip>
#include <math.h>
using namespace std;

int main() {

  int n;
  cin >> n;

  for ( int i = 0; i < n; i++ ) {

    double x1,y1,x2,y2,x3,y3;
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;

    for ( int j = 0; j < 3; j++ ) {
      if ( y1 == y2 || y2 == y3 ) {
	double k;
	k = x1;
	x1 = x2;
	x2 = x3;
	x3 = k;
	k = y1;
	y1 = y2;
	y2 = y3;
	y3 = k;
	continue;
      }
      double t1 = ( x1 - x2 ) / ( y2 - y1 );
      double t2 = ( x2 - x3 ) / ( y3 - y2 );
      double x = ( y1/2 - y3/2 - (x1+x2)/2*t1 + (x2+x3)/2*t2 ) / ( t2 - t1 );
      double y = ( x - (x1+x2)/2 ) * t1 + (y1+y2)/2;
      double l = sqrt( (x1-x)*(x1-x) + (y1-y)*(y1-y) );
      cout << fixed << setprecision(3) << x << " " << y << " " << l << endl;
      break;
    }

  }

}

C++: #include <iostream>
#include <cmath>
#include <iomanip>

using namespace std;

    // 半径取得の処理
double getR(double x1, double y1, double x2, double y2, double x3, double y3) {
    
    double marginX1, marginX2, marginX3;
    double marginY1, marginY2, marginY3;
    double a, b, c;
    double r, s;
    
        // それぞれのxとyの長さを求める
    marginX1 = abs(x2 - x1);
    marginY1 = abs(y2 - y1);
    marginX2 = abs(x1 - x3);
    marginY2 = abs(y1 - y3);
    marginX3 = abs(x3 - x2);
    marginY3 = abs(y3 - y2);
    
        // それぞれの辺の長さを求める
    a = sqrt(pow(marginX1,2) + pow(marginY1,2));
    b = sqrt(pow(marginX2,2) + pow(marginY2,2));
    c = sqrt(pow(marginX3,2) + pow(marginY3,2));
    
        // 半径を求める
    s = (a + b + c) / 2;
    r = (a * b * c) / (4 * sqrt(s * (s - a) * (s - b) * (s - c)));
    
    r *= 10000;
    r = (int)r;
    r /= 10;
    r = round(r);
    r /= 1000;
    
    return r;
}

    // 中心座標を求める処理
void getCentralCoodinate(double x1, double y1, double x2, double y2, double x3, double y3, double *xp, double *yp) {
    
    double marginX1, marginX2;
    double marginY1, marginY2;
    double marginXp1, marginXp2;
    double marginYp1, marginYp2;
    double n, m;
    
        // 初期化
    *xp = 0;
    *yp = 0;
    
        // それぞれのxとyの長さを求める
    marginX1 = abs(x2 - x1);
    marginY1 = abs(y2 - y1);
    marginX2 = abs(x1 - x3);
    marginY2 = abs(y1 - y3);
    
        // 中心座標を求めるのに必要な式
    marginXp1 = 2 * marginX1;
    marginYp1 = 2 * marginY1;
    marginXp2 = 2 * marginX2;
    marginYp2 = 2 * marginY2;
    
    n = pow(x1,2) - pow(x2,2) + pow(y1,2) - pow(y2,2);
    m = pow(x1,2) - pow(x3,2) + pow(y1,2) - pow(y3,2);
    
    *xp = (marginYp1 * m - marginYp2 * n) / (marginXp1 * marginYp2 - marginXp2 * marginYp1);
    *yp = (marginXp2 * n - marginXp1 * m) / (marginXp1 * marginYp2 - marginXp2 * marginYp1);
    
    *xp *= 10000;
    *xp = (int)*xp;
    *xp /= 10;
    *xp = round(*xp);
    *xp /= 1000;
    
    *yp *= 10000;
    *yp = (int)*yp;
    *yp /= 10;
    *yp = round(*yp);
    *yp /= 1000;
}

    // main処理
int main(void) {
    double x1, x2, x3;
    double y1, y2, y3;
    double xp, yp;
    double r;
    int n;
    
    cin >> n;
    
    while(n--) {
        cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
        
            // 半径と中心座標を取得する処理
        r = getR(x1, y1, x2, y2, x3, y3);
        getCentralCoodinate(x1, y1, x2, y2, x3, y3, &xp, &yp);
        
            // 出力
        cout << setprecision(3);
        cout << setiosflags(ios::fixed);
        cout << xp << " " << yp << " " << r << endl;
    }
    
    return 0;
}

C++: #include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;
int main()
{
	int n;
	double x1, x2, x3;
	double y1, y2, y3;
	cin >> n;
	cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
	double px, py, r;
	double A = (x2 - x1)*(y3 - y2) - (y2 - y1)*(x3 - x2);
	px = 0.5*((y3 - y2)*(x2*x2 - x1*x1 + y2*y2 - y1*y1) - (y2 - y1)*(x3*x3 - x2*x2 + 
y3*y3 - y2*y2)) / A;
	py = 0.5*(-(x3 - x2)*(x2*x2 - x1*x1 + y2*y2 - y1*y1) + (x2 - x1)*(x3*x3 - x2*x2 + y3*y3 - y2*y2)) / A;
	double a = px - x1;
	double b = py - y1;
	double r0 = (a*a + b*b);
	double r1 = sqrt(r0);
	cout << fixed << setprecision(10) << px << " " << py << " " << r1 <<  endl;
}