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++: #import<complex>
#import<cstdio>
#define F(a,b,c) acos((b*b+c*c-a*a)/2/b/c)
int main(){typedef double D;int n;D d,e,f,g,h,i;for(scanf("%d",&n);n--;){scanf("%lf%lf%lf%lf%lf%lf",&d,&g,&e,&h,&f,&i);std::complex<D> a(d,g),b(e,h),c(f,i);D A=abs(b-c),B=abs(c-a),C=abs(a-b),s=sin(2*F(A,B,C)),t=sin(2*F(B,C,A)),u=sin(2*F(C,A,B)),v=s+t+u;printf("%.3f %.3f %.3f\n",(d*s+e*t+f*u)/v,(g*s+h*t+i*u)/v,A/sin(F(A,B,C))/2);}}

C++: // AOJ 0010 (http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0010&lang=jp)
#include<cstdio>
#include<cmath>
#define rep(i,a) for(int i=0;i<(a);++i)

int n;

double sqr( double x )
{ return x*x; }

int main()
{
	scanf( "%d", &n );
	while( n-- )
	{
		double x1, y1, x2, y2, x3, y3;
		scanf( "%lf%lf%lf%lf%lf%lf", &x1, &y1, &x2, &y2, &x3, &y3 );

		double a = sqrt(sqr(x3-x2)+sqr(y3-y2)), b = sqrt(sqr(x1-x3)+sqr(y1-y3)), c = sqrt(sqr(x2-x1)+sqr(y2-y1));
		double cosA = (sqr(b)+sqr(c)-sqr(a))/(sqr(b)*sqr(c)), cosB = (sqr(c)+sqr(a)-sqr(b))/(sqr(c)*sqr(a)), cosC = (sqr(a)+sqr(b)-sqr(c))/(sqr(a)*sqr(b));
		double sinA = sqrt(1-sqr(cosA)), sinB = sqrt(1-sqr(cosB)), sinC = sqrt(1-sqr(cosC));
		double sin2A = 2*sinA*cosA, sin2B = 2*sinB*cosB, sin2C = 2*sinC*cosC;
		double px = (sin2A*x1+sin2B*x2+sin2C*x3)/(sin2A+sin2B+sin2C), py = (sin2A*y1+sin2B*y2+sin2C*y3)/(sin2A+sin2B+sin2C);

		printf( "%.3f %.3f %.3f\n", px, py, sqrt(sqr(x1-px)+sqr(y1-py)) );
	}

	return 0;
}

C++: #include<iostream>
#include<cmath>
#include<algorithm>
using namespace std;
class Point {
public:
	double x, y;
};
double distance(Point x, Point y) {
	return pow(pow(fabs(x.x - y.x), 2) + pow(fabs(x.y - y.y), 2), 0.5);
}
int main() {
	int n;
	cin >> n;
	for (int i = 0; i < n; i++) {
		Point p[3], s;
		for (int i = 0; i < 3; i++) {
			cin >> p[i].x >> p[i].y;
		}
		double a, b, c, d, e, f;
		a = (-2)*p[0].x + 2 * p[1].x;
		b = (-2)*p[0].y + 2 * p[1].y;
		c = (-2)*p[0].x + 2 * p[2].x;
		d = (-2)*p[0].y + 2 * p[2].y;
		e = pow(p[0].x, 2) + pow(p[0].y, 2) - pow(p[1].x, 2) - pow(p[1].y, 2);
		f = pow(p[0].x, 2) + pow(p[0].y, 2) - pow(p[2].x, 2) - pow(p[2].y, 2);
		s.x = (b*f - d*e) / (a*d - b*c);
		s.y = (a*f - c*e) / (b*c - a*d);
		double k = distance(p[0], s);
		s.x = round(s.x * 1000) / 1000;
		s.y = round(s.y * 1000) / 1000;
		k = round(k * 1000) / 1000;
		cout << s.x << " " << s.y << " " << k << endl;
	}
	return 0;
}

C++: #include <iostream>
#include <fstream>
#include <algorithm>
#include <vector>
#include <string>
#include <functional>
#include <array>
#include <stack>
#include <queue>
#include <chrono>
#include <numeric>
#include <memory.h>
#include <map>
#include <math.h>
#include <utility>


#pragma warning(disable:4996)
using namespace std;
#define REP(i,n) for(int i = 0 ; i < n ; ++i)
typedef long long Int;
const double PI = 3.141592653589793238;
const Int INF = 999999999999;
typedef pair<int, int> P;


double A[2][2];
double C[2];


int main()
{
	int n;
	cin >> n;
	REP(i, n){
		double x1, x2, x3, y1, y2, y3;
		cin >> x1>> x2 >> x3 >> y1 >> y2 >> y3;

		double x21 = x2 - x1;
		double x31 = x3 - x1;
		double y21 = y2 - y1;
		double y31 = y3 - y1;

		double xc = ((y31*(x21*x21 + y21*y21)) - (y21*(x31*x31 + y31*y31))) /
			(2 * (x21*y31 - y21*x31));

		double yc = ((x21*(x31*x31 + y31*y31)) - (x31*(x21*x21 + y21*y21))) /
			(2 * (x21*y31 - y21*x31));	
		
		double d = (xc - x1)*(xc - x1) + (yc - y1)*(yc - y1);
		double xc_ = xc * 10000;
		double yc_ = yc * 10000;
		double d_ = sqrt(d)*10000;
		xc_ += ((int)xc_ % 10) > 4 ? 10 : (int)-xc_%10;
		yc_ += ((int)yc_ % 10) > 4 ? 10 : (int)-yc_%10;
		d_ += ((int)d_ % 10) > 4 ? 10 : (int)-d_ % 10;


		printf("%.3lf %.3lf %.3lf\n", xc_/10000, yc_/10000,d_/10000 );


	}

}

C++: #include <cstdio>
#include <bitset>
#include <cmath>
#include <complex>

#define EPS 1e-6
using namespace std;

double cross(complex<double> a, complex<double> b)
{
  return a.real() * b.imag() - a.imag() * b.real();
}

double dot(complex<double> a, complex<double> b)
{
  return a.real() * b.real() + a.imag() * b.imag();
}

int main()
{
  complex<double> coor[3];
  int N;
  scanf(" %d ", &N);
  for (int i = 0; i < N; i++) {
    for (int i = 0; i < 3; i++) {
      double x, y;
      scanf(" %lf %lf ", &x, &y);
      coor[i] = complex<double>(x, y);
      //printf("coor[%d](%.3lf, %.3lf)\n", i ,coor[i].real(), coor[i].imag());
    }
    complex<double> h[2], d[2];
    for (int j = 0; j < 2; j++) {
      h[j] = complex<double>((coor[j].real() + coor[j + 1].real()) / 2, (coor[j].imag() + coor[j + 1].imag()) / 2);
      d[j] = complex<double>(coor[j].real() - coor[j + 1].real(), coor[j].imag() - coor[j + 1].imag());
    }
    double D = cross(d[0], d[1]);
    complex<double>o(cross( complex<double>( dot( d[0], h[0] ) , dot( d[1], h[1] ) ), complex<double>( d[0].imag(), d[1].imag() ) ) / D,
					cross( complex<double>( d[0].real(), d[1].real() ), complex<double>( dot( d[0], h[0] ) , dot( d[1], h[1] ) ) ) / D);
    //printf("h1(x, y) = (%.3lf, %.3lf), h2(x, y) = (%.3lf, %.3lf), d1(x, y) = (%.3lf, %.3lf), d2(x, y) = (%.3lf, %.3lf), o(x, y) = ( %.3lf, %.3lf)\n", h[0].real(), h[0].imag(), h[1].real(), h[1].imag(), d[0].real(), d[0].imag(), d[1].real(), d[1].imag(), o.real(), o.imag());
    complex<double> t = o - coor[0];
    double r = abs(t);
    printf("%.3lf %.3lf %.3lf\n", o.real(), o.imag(), r);    
  }
  return 0;
}

C++: #include <iostream>
#include <vector>
//#include <math.h>
//#include <string>
#include <cmath>
#include <iomanip>

int main();
double round(double dSrc, int iLen);

int main(){
	int cnt = 0;		//データセットの個数
	double x1, y1, x2, y2, x3, y3;
	std::vector<double> p;		//外接円の中心のx座標
	std::vector<double> q;		//外接円の中心のy座標
	std::vector<double> r;		//外接円の半径
	
	std::cin >> cnt;
	for (int i = 0; i < cnt; i++){
		std::cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
		p.push_back(((y1 - y3) * (pow(y1, 2) - pow(y2, 2) + pow(x1, 2) - pow(x2, 2)) - (y1 - y2) * (pow(y1, 2) - pow(y3, 2) + pow(x1, 2) - pow(x3, 2))) / (2 * (y1 - y3) * (x1 - x2) - 2 * (y1 - y2) * (x1 - x3)));
		q.push_back(((x1 - x3) * (pow(x1, 2) - pow(x2, 2) + pow(y1, 2) - pow(y2, 2)) - (x1 - x2) * (pow(x1, 2) - pow(x3, 2) + pow(y1, 2) - pow(y3, 2))) / (2 * (x1 - x3) * (y1 - y2) - 2 * (x1 - x2) * (y1 - y3)));
		r.push_back(sqrt((pow((p[i] - x1), 2) + pow((q[i] - y1), 2))));
		
//#define AAA
#ifdef AAA
		int temp = p[i];
		if (p[i] - temp != 0){
			p[i] = round(p[i], 3);
		}

		temp = q[i];
		if (q[i] - temp != 0){
			q[i] = round(q[i], 3);
		}
		
		temp = r[i];
		if (r[i] - temp != 0){
			r[i] = round(r[i], 3);
		}

		std::cout << std::fixed << std::setprecision(3) << p[i] << " " << q[i] << " " << r[i] << std::endl;
	}
#endif
#ifndef	AAA
	for (int i = 0; i < cnt; i++){
		int temp = p[i];
		if (p[i] - temp != 0){
			p[i] = round(p[i], 3);
		}

		temp = q[i];
		if (q[i] - temp != 0){
			q[i] = round(q[i], 3);
		}
		
		temp = r[i];
		if (r[i] - temp != 0){
			r[i] = round(r[i], 3);
		}

		std::cout << std::fixed << std::setprecision(3) << p[i] << " " << q[i] << " " << r[i] << std::endl;
	}
#endif
	//while (1);
	return 0;
}

/**
* 指定桁で四捨五入を行う
* args:数値, 四捨五入する桁数
* return:結果
* 参考:http://oresi.hatenablog.com/entry/2014/06/23/【C%2CC%2B%2B】指定桁数で端数処理%EF%BC%88切り上げ、切り下げ
*/
double round(double dSrc, int iLen)
{
	double	dRet;

	dRet = dSrc * pow(10.0, iLen);
	dRet = (double)(int)(dRet + 0.5);

	return dRet * pow(10.0, -iLen);
}