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 <iostream>
#include <cmath>
#include <cstdio>

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;
		double veku1[3], veku2[3];
		veku1[0] = x2-x1;
		veku1[1] = y2-y1;
		veku2[0] = x3-x1;
		veku2[1] = y3-y1;
		veku1[2] = veku1[0]*veku1[0]+veku1[1]*veku1[1];
		veku2[2] = veku2[0]*veku2[0]+veku2[1]*veku2[1];
		double naiseki = veku1[0]*veku2[0]+veku1[1]*veku2[1];
		double p, q;
		q = (veku1[2]*veku2[2]-naiseki*veku1[2])/(2.0*(veku1[2]*veku2[2]-naiseki*naiseki));
		p = -(q-0.5)*veku2[2]/naiseki;
		double k[2];
		k[0] = x1+p*veku1[0]+q*veku2[0];
		k[1] = y1+p*veku1[1]+q*veku2[1];
		double pp = sqrt((k[0]-x1)*(k[0]-x1)+(k[1]-y1)*(k[1]-y1));
		k[0] *= 1000.0;
		if (k[0]-(int)k[0] >= 0.5) {
			k[0] += 1.0;
		}
		k[0] /= 1000.0;
		k[1] *= 1000.0;
		if (k[1]-(int)k[1] >= 0.5) {
			k[1] += 1.0;
		}
		k[1] /= 1000.0;
		pp *= 1000.0;
		if (pp-(int)pp >= 0.5) {
			pp += 1.0;
		}
		pp /= 1000.0;
		printf("%.3f %.3f %.3f\n", k[0], k[1], pp);
	}
	return 0;
}

C++: #include <iostream>
#include <cmath>
#include <cstdio>
#include <string>
#include <sstream>

using namespace std;

double sisya(double a) {
	a *= 1000.0;
	//cout << a << endl;
	a += 0.5;
	a = (int)a;
	a /= 1000.0;
	return a; 
}

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

int main() {
	int n;
	cin >> n;
	for (int i = 0; i < n; i++) {
		double x[3], y[3];
		for (int j = 0; j < 3; j++) {
			cin >> x[j] >> y[j];
		}
		double a1, a2, b1, b2, c1, c2;
		a1 = 2.0 * (x[1]-x[0]);
		a2 = 2.0 * (x[2]-x[0]);
		b1 = 2.0 * (y[1]-y[0]);
		b2 = 2.0 * (y[2]-y[0]);
		c1 = x[0]*x[0]-x[1]*x[1]+y[0]*y[0]-y[1]*y[1];
		c2 = x[0]*x[0]-x[2]*x[2]+y[0]*y[0]-y[2]*y[2];
		double X, Y, R;
		X = (b1*c2-b2*c1)/(a1*b2-a2*b1);
		Y = (c1*a2-c2*a1)/(a1*b2-a2*b1);
		R = ll(X, Y, x[0], y[0]);
		//X = sisya(X);
		//Y = sisya(Y);
		//R = sisya(R);
		printf("%.3f %.3f %.3f\n", X, Y, R);
	}
	return 0;
}

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

class Triangle{

public:
	double a, b, c,a2,b2,c2;
	double cosA, sinA,R,px,py;

	//con???????§???¢???????????§?¨?????±???????????¬?????¨????????¨????????¨?????°???\???????????????????????£?????????
	double con1, con2, con3,con4,con5,con6;


	Triangle(double x1,double y1,double x2,double y2,double x3,double y3);

	double Radius();
	double Px();
	double Py();

};


//Triangle????????????????????????
Triangle::Triangle(double x1, double y1, double x2, double y2, double x3, double y3){

	a2 = (x2 - x1)*(x2 - x1) + (y2 - y1)*(y2 - y1);
	b2 = (x3 - x1)*(x3 - x1) + (y3 - y1)*(y3 - y1);
	c2 = (x2 - x3)*(x2 - x3) + (y2 - y3)*(y2 - y3);

	a = sqrt((x2 - x1)*(x2 - x1) + (y2 - y1)*(y2 - y1));
	b = sqrt((x3 - x1)*(x3 - x1) + (y3 - y1)*(y3 - y1));
	c = sqrt((x2 - x3)*(x2 - x3) + (y2 - y3)*(y2 - y3));


	
	cosA = (b2 + c2 - a2) / (2 * b*c);
	sinA = sqrt(1 - (cosA*cosA));

	R = a / (2 * sinA);

	//????????¬?????????????????§?¨?????±???????
	con1 = (y3 - y2)*(x1*x1) - (y3 - y1)*(x2*x2) + (y2-y1)*(x3*x3);
	con2 = (y3 - y1)*x2 - (y2 - y1)*x3 + (y2 - y3)*x1;
	con3 = (y1*y1)*(y3 - y2) + (y2*y2)*(y1 - y3) + (y3*y3)*(y2 - y1);

	//????????????con1+2px*con2+con3=0??¨??????
	px = (con3 - con1) / (2 * con2);


	con4 = (x3 - x2)*(y1*y1) - (x3 - x1)*(y2*y2) + (x2 - x1)*(y3*y3);
	con5 = (x3 - x1)*y2 - (x2 - x1)*y3 + (x2 - x3)*y1;
	con6 = (x1*x1)*(x3 - x2) + (x2*x2)*(x1 - x3) + (x3*x3)*(x2 - x1);

	py = (con6 - con4) / (2 * con5);


}


//?????\????????????Radius????±?????????¢??°
double Triangle::Radius(){

	R=round(R*1000)/1000;
	return R;
}

//px???????????¢??°
double Triangle::Px(){

	return px;
}

//py???????????¢??°
double Triangle::Py(){

	return py;
}



//??£??????????????¨???????§£???
int main(void){


	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;
	
		//????§???¢??????????????????????????§???????????????
		Triangle Triangle(x1, y1, x2, y2, x3, y3);
		
		printf("%.3f ", Triangle.Px());
		printf("%.3f ", Triangle.Py());
		printf("%.3f\n",Triangle.Radius());


	}


	return 0;
}