Go: package main

import (
	"bufio"
	"fmt"
	"io"
	"math"
	"os"
	"strconv"
	"strings"

)


func main() {
	solve(os.Stdin, os.Stdout)
}

type ReaderEx struct {
	baseScanner *bufio.Scanner
	words       []string
	nextWordIdx func() int
	initWordIdx func(int)
}

func NewScannerEx(stdin io.Reader) *ReaderEx {
	var this ReaderEx
	var idx int
	var wordsCnt int
	this.baseScanner = bufio.NewScanner(stdin)
	this.baseScanner.Buffer(make([]byte, 0), 1E+11)
	this.nextWordIdx = func() int {
		cur := idx
		idx = (idx + 1) % wordsCnt
		return cur
	}
	this.initWordIdx = func(wc int) {
		idx = 0
		wordsCnt = wc
	}
	return &this
}

func (me *ReaderEx) Scan(doSplit bool) (isScanned bool) {
	isScanned = me.baseScanner.Scan()
	if doSplit {
		me.words = strings.Fields(me.baseScanner.Text())
	} else {
		me.words = []string{me.baseScanner.Text()}
	}
	me.initWordIdx(len(me.words))
	return
}

func (me *ReaderEx) nextBytes() []byte {
	return []byte(me.words[me.nextWordIdx()])
}
func (me *ReaderEx) nextString() string {
	return me.words[me.nextWordIdx()]
}

type StringArray []string

func (me *ReaderEx) nextStringArray() StringArray {
	return me.words[me.nextWordIdx():]
}

func (me StringArray) toStrings() []string {
	return me
}

func (me StringArray) toInts() []int {
	strValues := me.toStrings()
	values := make([]int, len(strValues))
	for i, v := range strValues {
		n, err := strconv.Atoi(v)
		if err != nil {
			panic(err)
		}
		values[i] = n
	}
	return values
}
func (me *ReaderEx) nextInt() int {
	n, err := strconv.Atoi(me.words[me.nextWordIdx()])

	defer func() {
		if err != nil {
			panic(fmt.Sprintf("getInt(%d)", n))
		}
	}()
	return n
}

func pow(x, y, mod int) (ans int) {

	ans = 1
	for bit := 1 << uint(math.Floor(math.Log2(float64(y)))); ; bit >>= 1 {
		if y&bit != 0 {
			ans *= x
			if mod > 0 {
				ans %= mod
			}
		}
		if bit <= 1 {
			return
		}
		ans *= ans
		if mod > 0 {
			ans %= mod
		}
	}
}

type factType struct {
	prime int
	count int
}

func fact(n int) (facts []*factType) {

	for i := 2; i*i <= n; i++ {
		if n%i == 0 {
			fa := factType{prime: i}
			for n%fa.prime == 0 {
				n /= fa.prime
				fa.count++
			}
			facts = append(facts, &fa)
		}
	}
	if n > 1 {
		facts = append(facts, &factType{prime: n, count: 1})
	}
	return facts
}
func dec2bin(n int) (ret []bool) {
	for bit := 1 << uint(math.Floor(math.Log2(float64(n)))); ; bit >>= 1 {
		ret = append(ret, n&bit != 0)

		if bit <= 1 {
			return
		}
	}

}

func abs(v int) int {
	if v < 0 {
		v = -v
	}
	return v
}

func b2i(b bool) (i int) {
	if b {
		i = 1
	} else {
		i = 0
	}
	return
}

func solve(stdin io.Reader, stdout io.Writer) {

	r := NewScannerEx(stdin)
	r.Scan(true)
	n := r.nextInt()

	type Vec struct {
		x, y float64
	}
	vec := func(a, b Vec) Vec { return Vec{b.x - a.x, b.y - a.y} }
	unv := func(a Vec) Vec { return Vec{-a.y, a.x} }
	cdot := func(a, b Vec) float64 { return a.x*b.x + a.y*b.y }
	times := func(t float64, a Vec) Vec { return Vec{t * a.x, t * a.y} }
	add := func(a, b Vec) Vec { return Vec{a.x + b.x, a.y + b.y} }
	for i := 0; i < n; i++ {

		r.Scan(true)
		nextFloat64 := func() (ret float64) { fmt.Sscanf(r.nextString(), "%f", &ret); return }
		a1, a2, a3 := Vec{nextFloat64(), nextFloat64()}, Vec{nextFloat64(), nextFloat64()}, Vec{nextFloat64(), nextFloat64()}
		unv23 := unv(vec(a2, a3))
		v12 := vec(a1, a2)
		v31 := vec(a3, a1)
		s := cdot(v12, v31) / 2 / cdot(v12, unv23)
		c := add(times(.5, add(a2, a3)), times(s, unv23))
		v1c := vec(a1, c)
		fmt.Fprintf(stdout, "%.3f %.3f %.3f\n", c.x, c.y, math.Sqrt(v1c.x*v1c.x+v1c.y*v1c.y))
	}
}

C++: #include <stdio.h>
#include <math.h>

int main(void)
{
	float x[3][2];
	int n;
	int xa, xb, xc;
	int ya, yb, yc;
	float ans[3];
	int i, j;
	
	scanf("%d", &n);
	
	while (n){
		for (i = 0; i < 3; i++){
			for (j = 0; j < 2; j++){
				scanf("%f", &x[i][j]);
			}
		}
		
		xa = 2 * (x[1][0] - x[0][0]);
		xb = 2 * (x[1][1] - x[0][1]);
		xc = x[0][0] * x[0][0] - x[1][0] * x[1][0] + x[0][1] * x[0][1] - x[1][1] * x[1][1];
		ya = 2 * (x[2][0] - x[0][0]);
		yb = 2 * (x[2][1] - x[0][1]);
		yc = x[0][0] * x[0][0] - x[2][0] * x[2][0] + x[0][1] * x[0][1] - x[2][1] * x[2][1];
		
		ans[0] = (xb * yc - yb * xc) / (xa * yb - ya * xb);
		ans[1] = (xc * ya - yc * xa) / (xa * yb - ya * xb);
		ans[2] = sqrt((ans[0] - x[0][0]) * (ans[0] - x[0][0]) + (ans[1] - x[0][1]) * (ans[1] - x[0][1]));
		
		for (i = 0; i < 3; i++){
			printf("%.3f", ans[i]);
		}
		printf("\n");
		
		n--;
	}
	
	return (0);
}

C++: #include <iostream>
#include <cstdio>
#include <cmath>
#define PI 3.141592653589793
using namespace std;
int main(){
	int n;
	cin>>n;
	for(int i=0;i<n;i++){
		double x,x2,x3,y,y2,y3,b,c,px,py,z;
		cin>>x>>x2>>x3>>y>>y2>>y3;
		b=sqrt(pow(x3-x2,2)+pow(y3-y2,2));
		c=sqrt(pow(x-x3,2)+pow(y-y3,2));
		z=asin(b/c);
		px=((y3-y)*(x2*x2-x*x+y2*y2-y*y)+(y-y2)*(x3*x3-x*x+y3*y3-y*y))/(2*(x2-x)*(y3-y)-(y2-y)*(x3-x));
		py=((x-x3)*(x2*x2-x*x+y2*y2-y*y)+(x2-x)*(x3*x3-x*x+y3*y3-y*y))/(2*(x2-x)*(y3-y)-(y2-y)*(x3-x));
		printf("%.3lf %.3lf %.3lf\n",px,py,(b/sin(z))/2);
	}
	return 0;
}

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

using namespace std;

int main(void){
	int num;
	cin >> num;
	for (int i=1; i<=num; ++i){
		double x1, y1, x2, y2, x3, y3;
		cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
		double e1_2 = sqrt(pow((x2-x1), 2) + pow((y2-y1), 2));
		double e2_3 = sqrt(pow((x2-x3), 2) + pow((y2-y3), 2));
		double e3_1 = sqrt(pow((x3-x1), 2) + pow((y3-y1), 2));
		double theta = acos((e1_2*e1_2 + e2_3*e2_3 - e3_1*e3_1) / (2*e1_2*e2_3));
		//正弦定理により
		double r = e3_1 / (2*sin(theta));
		double a1 = 2*(x2-x1);
		double b1 = 2*(y2-y1);
		double c1 = x1*x1 - x2*x2 + y1*y1 -y2*y2;
		double a2 = 2*(x3-x1);
		double b2 = 2*(y3-y1);
		double c2 = x1*x1 - x3*x3 + y1*y1 - y3*y3;
		double x = (b1*x2 - b2*c1) / (a1*b2 - a2*b1);
		double y = (c1*a2 - c2*a1) / (a1*b2 - a2*b1);
		cout << fixed << setprecision(3) << x << " " << y << " " << r << endl;
	}
	return 0;
}

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

double fpx(double a, double b, double c, double d, double e, double f);
double fpy(double a, double b, double c, double d, double e, double f);
double  fr(double a, double b, double c, double d);
string toStr(double a);
string intToString(int a);

int main() {
  int n;
  double x1, y1, x2, y2, x3, y3;

  cin >> n;
  
  for (int i = 0; i < n; i++) {
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
    double px = fpx(x1, y1, x2, y2, x3, y3);
    double py = fpy(x1, y1, x2, y2, x3, y3);
    double  r =  fr(x1, y1, px, py);

    cout << toStr(px) << " " << toStr(py) << " " << toStr(r) << endl;
  }
}


double fpx(double x1, double y1, double x2, double y2, double x3, double y3) {
  double a1, a2, b1, b2, c1, c2;

  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;

  return (b1 * c2 - b2 * c1) / (a1 * b2 - a2 * b1);
}

double fpy(double x1, double y1, double x2, double y2, double x3, double y3) {
  double a1, a2, b1, b2, c1, c2;

  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;

  return (c1 * a2 - c2 * a1) / (a1 * b2 - a2 * b1);
}

double fr(double x1, double y1, double x2, double y2) {
  return sqrt( (x1-x2)*(x1-x2) + (y1-y2)*(y1-y2) );
}

string toStr(double d) {
  string pm = "", val = "";
  if (d < 0) {
    pm = "-";
    d = -d;
  }

  int ipart = (int)d;
  int fpart = (int)( (d - (double)ipart) * 10000) + 10000;

  val = pm + intToString(ipart) + "." + intToString(fpart).substr(1, 3);
  return val;
}

string intToString(int n) {
  stringstream ss;
  ss << n;
  return ss.str();
}