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++: /* {{{ Shinobu kawaii */
/*
  ______   __        _                  __                 
.' ____ \ [  |      (_)                [  |                
| (___ \_| | |--.   __   _ .--.   .--.  | |.--.   __   _   
 _.____`.  | .-. | [  | [ `.-. |/ .'`\ \| '/'`\ \[  | | |  
| \____) | | | | |  | |  | | | || \__. ||  \__/ | | \_/ |, 
 \______.'[___]|__][___][___||__]'.__.'[__;.__.'  '.__.'_/ 
                                                           
*/
/* }}} */
/* include {{{ */
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <climits>
#include <iostream>
#include <vector>
#include <string>
#include <sstream>
#include <algorithm>
#include <utility>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <deque>
#include <functional>
using namespace std;
/* }}} */

// #define int long long

/* cpp template {{{ */
/* short */
#define pb push_back
#define mp make_pair
#define print(x) cout << x << '\n'
#define Fi first
#define Se second

/* REPmacro */
#define REPS(i, a, n) for (int i = (a); i < (n); i++)
#define REP(i, n) for (int i = 0; i < (n); i++)
#define RREP(i, n) for (int i = 1; i <= (n); i++)
#define DEPS(i, a, n) for (int i = (a); i >= n; i--)
#define DEP(i, n) for (int i = (n); i >= 0; i--)

/* typedef */
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> vi;
typedef vector<vector<int> > vii;
typedef pair<int, int> pii;

/* const */
const int INF = 999999999;
const double EPS = 1e-9;
const int dx[] = {0, 1, 0, -1, 1, -1, 1, -1}, dy[] = {1, 0, -1, 0, 1, -1, -1, 1};

/* func */
inline bool is_uruu(int y) {return (y % 4 == 0 && (y % 100 != 0 || y % 400 == 0));}
inline bool inside(int y, int x, int H, int W) {return (y >= 0 && x >= 0 && y < H && x < W);}

/* }}} */

typedef pair<double, double> pdd;

#define sq(x) ((x) * (x))

signed main()
{
  cin.tie(0);
  ios::sync_with_stdio(false);

  int n;
  cin >> n;

  while (n--){
    double x1, y1, x2, y2, x3, y3;
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;

    double a = 2 * (x1 - x2), b = 2 * (y1 - y2),
           c = 2 * (x1 - x3), d = 2 * (y1 - y3);

    double y = (c * (sq(x1) * sq(y1) - sq(x2) - sq(y2)) - a * (sq(x1) + sq(y1) - sq(x3) - sq(y3))) / (c * b == a * d ? EPS : c * b - a * d);
    double x = (sq(x1) + sq(y1) - sq(x3) - sq(y3) - d * y) / (c == 0 ? EPS : c);
    double r = sqrt(sq(x - x1) + sq(y - y1));
    printf("%.3f %.3f %.3f\n", x, y, r);
  }

  return (0);
}

C++: #include <bits/stdc++.h>
using namespace std;

int main() {
  int n;
  double a, b, c, d, e, f, px, py, r;
  cin >> n;
  for (int i = 0; i < n; i++) {
    cin >> a >> b >> c >> d >> e >> f;
    py = ((e - a) * (a * a + b * b - c * c - d * d) -
          (c - a) * (a * a + b * b - e * e - f * f)) /
         (2 * (e - a) * (b - d) - 2 * (c - a) * (b - f));
    if (c != a) {
      px = (2 * (b - d) * py - a * a - b * b + c * c + d * d) / (2 * (c - a));
    } else {
      px = (2 * (b - f) * py - a * a - b * b + e * e + f * f) / (2 * (e - a));
    }
    r = hypot(px - a, py - b);
    cout << fixed << setprecision(3) << px << " " << py << " " << r << endl;
  }
}

C++: #include<iostream>
#include<cstdio>
#include<cmath>
using namespace std;
int main()
{
	int n;cin>>n;
	double x1,x2,x3,y1,y2,y3,x12,x13,y12,y13,xx12,yy12,xx13,yy13,x,y,r;
	for(int i=0;i<n;i++)
	{
		cin>>x1>>y1>>x2>>y2>>x3>>y3;
		
		x12=x1-x2;
		x13=x1-x3;
		y12=y1-y2;
		y13=y1-y3;
		xx12=x1*x1-x2*2;
		xx13=x1*x1-x3*x3;
		yy12=y1*y1-y2*y2;
		yy13=y1*y1-y3*y3;
		
		x=-0.5*(y12*(xx13+yy13)-y13*(xx12+yy12))/(x12*y13-x13*y12);
		y=-0.5*(x12*(xx13+yy13)-x13*(xx12+yy12))/(y12*x13-y13*x12);
		r=sqrt(x*x+y*y+x1*x1+y1*y1-2*x*x1-2*y*y1);
		
		printf("%.3lf %.3lf %.3lf\n",x,y,r);
		
	}
	return 0;
}

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


int main(){
	int n;
	double x[3];
	double y[3];
	double p, q, r;

	cin >> n;
	while (n--){
		for (int i = 0; i < 3; i++) cin >> x[i] >> y[i];

		double a = y[0] - y[2];
		double b = y[0] - y[1];
		double c = x[0] - x[2];
		double d = x[0] - x[1];
		double e = pow(y[0], 2) - pow(y[1], 2) + pow(x[0], 2) - pow(x[1], 2);
		double f = pow(y[0], 2) - pow(y[2], 2) + pow(x[0], 2) - pow(x[2], 2);

		p = ((a*e) - (b*f)) / (2 * a*d - 2 * b*c);
		q = ((c*e) - (d*f)) / (2 * c*b - 2 * d*a);
		r = sqrt(pow(p - x[0], 2) + pow(q - y[0], 2));

		printf("%.3lf %.3lf %.3lf\n", p, q, r);
	}

	return 0;
}

C++: #include<stdio.h>
#include<iostream>
#include<math.h>
using namespace std;
int main(){
    int a;
    cin >> a;
    for(int i=0;i<a;i++){
        double x1,y1,x2,y2,x3,y3;
        cin >> x1 >>y1 >>x2 >> y2 >> x3 >> y3;
        double a1,a2,b1,b2,c1,c2,x,y,r;
         a1=2*(x2-x1);
         b1=2*(y2-y1);
         c1=x1*x1-x2*x2+y1*y1-y2*y2;
         a2=2*(x3-x1);
         b2=2*(y3-y1);
         c2=x1*x1-x3*x3+y1*y1-y3*y3;
         x=(b1*c2-b2*c1)/(a1*b2-a2*b1);
         y=(c1*a2-c2*a1)/(a1*b2-a2*b1);
         r=hypot(x-x1,y-y1);
        printf("%.3lf %.3lf %.3lf\n",x,y,r);
    }
}

C++: #include <iostream>
#include <stdio.h>
#include <string>
#include <queue>
#include <cmath>

#define int64 long long int

using namespace std;

double round(double x){
	if(x > 0) return floor(x + 0.5);
	else return -1.0 * floor(fabs(x) + 0.5);
}

int main()
{
	int n;
	double x1,y1,x2,y2,x3,y3,x,y,r;
	double det,a1,b1,a2,b2,c1,c2;
	cin >> n;
	for(int i=0; i<n; i++){
		a1 = 2 * (x1 - x2), b1 = 2 * (y1 - y2);
		a2 = 2 * (x2 - x3), b2 = 2 * (y2 - y3);
		det = a1 * b2 - a2 * b1;
		c1 = (x1*x1 - x2*x2) + (y1*y1 - y2*y2);
		c2 = (x2*x2 - x3*x3) + (y2*y2 - y3*y3);
		x = (a1 * c1 + b1 * c2) / det;
		y = (a2 * c1 + b2 * c2) / det;
		r = sqrt((x - x1)*(x - x1) + (y - y1)*(y - y1));
		x = round(x * 1000) / 1000;
		y = round(y * 1000) / 1000;
		r = round(r * 1000) / 1000;
		printf("%.3f %.3f %.3f\n", x, y, 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))));
	}

	for (int i = 0; i < cnt; i++){
		double result_p;
		double result_q;
		double result_r;

		result_p = round(p[i], 3);
		result_q = round(q[i], 3);
		result_r = round(r[i], 3);

		std::cout << std::fixed << std::setprecision(3) << result_p << " " << result_q << " " << result_r << std::endl;
	}

	//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);
}