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 <cstdio>
#include <string>
#include <vector>
#include <algorithm>
#include <memory.h>
#include <cmath>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <ctime>
#include <iostream>
#include <functional>
#include <complex>
#include <iomanip>
#pragma comment(linker, "/STACK:836777216")

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<double, double> pdd;
typedef pair<pii, int> p3i;
typedef vector<int> vi;
typedef vector<pii> vii;
typedef vector<pll> vll;
typedef vector<p3i> v3i;
typedef vector<vii> vvii;
typedef vector<p3i> vp3i;
typedef long double ld;
typedef vector<ld> vld;

#define pb push_back
#define mp make_pair
#define REP(i, n) for (int (i) = 0; (i) < (n); (i)++)
#define REPD(i, n) for (int (i) = (n) - 1; (i) >= 0; (i)--)
#define FOR(i, a, b) for (int (i) = (a); (i) < (b); (i)++)
#define FORD(i,a, b) for (int (i) = (a); (i) >= (b); (i)--)
#define sz(v) (int)(v).size()
#define all(v) (v).begin(), (v).end()
#define rv(v) reverse(all(v))
#define CL(v, val) memset((v), (val), sizeof((v)))
#define SORT(a) sort(all(a))
#define un(v) SORT(v), (v).resize(unique(all(v)) - (v).begin())
#define eps 1.0e-7
#define X first
#define Y second
#define bit(n) (1 << (n))
#define bit64(n) (ll(1) << (n))
#define sqr(n) ((n) * (n))

double x[3], y[3];
double l[3];

double GetDist(int a, int b) {
  return sqrt(sqr(x[a] - x[b]) + sqr(y[a] - y[b]));
}

int main(void) {
  int n;
  scanf("%d", &n);
  REP(i, n) {
    REP(j, 3) {
      scanf("%lf%lf", &x[j], &y[j]);
    }

    double D = 2 * (x[0] * (y[1] - y[2]) + x[1] * (y[2] - y[0]) + x[2] * (y[0] - y[1]));
    double xc = 1.0 / D * ((sqr(x[0]) + sqr(y[0])) * (y[1] - y[2]) + (sqr(x[1]) + sqr(y[1])) * (y[2] - y[0]) + (sqr(x[2]) + sqr(y[2])) * (y[0] - y[1]));
    double yc = 1.0 / D * ((sqr(x[0]) + sqr(y[0])) * (x[2] - x[1]) + (sqr(x[1]) + sqr(y[1])) * (x[0] - x[2]) + (sqr(x[2]) + sqr(y[2])) * (x[1] - x[0]));

    double p = 0;
    REP(j, 3) {
      l[j] = GetDist(j, (j + 1) % 3);
      p += l[j];
    }

    p /= 2;

    double r = 1;
    double z = p;
    REP(j, 3) {
      r *= l[j];
      z *= (p - l[j]);
    }

    r = r / (4 * sqrt(z));

    printf("%.6lf %.6lf %.6lf\n", xc, yc, r);


  }
  return 0;
}

C++: #include <iostream>
#include <cmath>
#include <iomanip>
#define sqr(n) ((n) * (n))
using namespace std;

void equation(double a, double b, double c, double d, double e, double f, double *x, double *y)
{
  *x = (c * e - b * f) / (a * e - b * d);
  *y = (a * f - c * d) / (a * e - b * d);   
}

int main()
{
  int n;
  double x1, y1, x2, y2, x3, y3, x, y;
  cin >> n;
  for(int i = 0; i < n; i++){
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
    x = y = 0;
    equation((2 * (x2 - y1)), (2 * (y2 - y1)), (sqr(x2) + sqr(y2) - sqr(x1) - sqr(y1)), (2 * (x3 - y1)), (2 * (y3 - y1)), (sqr(x3) + sqr(y3) - sqr(x1) - sqr(y1)), &x, &y);
    cout << fixed << setprecision(3) << x + 0.0001 << ' ' <<  y + 0.0001 << ' ' << sqrt(sqr(x1 - x) + sqr(y1 - y)) << endl;
  }
}

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

int main()
{
	int i,n,flg=0;
	double x1,x2,x3,y1,y2,y3;
	double m1,m2,xm1,xm2,ym1,ym2,xo,yo,r;
	//m1,m2…辺の法線　xm1,ym1…辺の中点の座標

	cin>>n;
	for(i=0;i<n;i++){
		cin>>x1>>y1>>x2>>y2>>x3>>y3;

		xm1=(x1+x2)/2;
		xm2=(x2+x3)/2;
		ym1=(y1+y2)/2;
		ym2=(y2+y3)/2;
		
		if(y1-y2!=0){
			m1=(-1)*(x1-x2)/(y1-y2);
		}else if(y1-y2==0) flg=1;
		if(y2-y3!=0)		m2=(-1)*(x2-x3)/(y2-y3);
		else if(y2-y3==0)	flg=2;
		
		if(flg==0) 	xo=(m1*xm1-m2*xm2+ym2-ym1)/(m1-m2);
		else if(flg==1)xo=xm1;
		else if(flg=2) xo=xm2;

		if(flg==1)yo=m2*(xo-xm2)+ym2;
		else		yo=m1*(xo-xm1)+ym1;
		r=sqrt((x1-xo)*(x1-xo)+(y1-yo)*(y1-yo));
		printf("%.3lf %.3lf %.3lf \n",xo,yo,r);
	}
}