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 <bits/stdc++.h>
using namespace std;
class Point{
	public:
	double x,y;
	void input(){
		cin>>x>>y;
	}
};
double dist(Point a,Point b){
	return sqrt(pow(a.x-b.x,2.0)+pow(a.y-b.y,2.0));
}
class Line{
	public:
	double a,b,c;//ax+by=c
	Line(Point s,Point t){
		//x=(x1+x2)/2 , y=(y1+y2)/2を通り、
		//傾きa=-(x1-x2)/(y1-y2)の直線
		//(y1-y2)(y-(y1+y2)/2) = -(x1-x2)(x-(x1+x2)/2)
		//(x1-x2)x + (y1-y2)y = (x1^2-x2^2)/2 + (y1^2-y2^2)/2
		a=s.x-t.x;	b=s.y-t.y;
		c=((s.x+t.x)*(s.x-t.x)+(s.y+t.y)*(s.y-t.y))/2.0;
	}
	void multi(double x){
		a*=x;	b*=x;	c*=x;
	}
};
double searchx(Line s,Line t){
	double tmp=s.b;
	s.multi(t.b);	t.multi(tmp);
	return (s.c-t.c)/(s.a-t.a);
}
double searchy(Line s,Line t){
	double tmp=s.a;
	s.multi(t.a);	t.multi(tmp);
	return (s.c-t.c)/(s.b-t.b);
}
int main(){
	int n;	cin>>n;
	while(n--){
		Point a,b,c;
		a.input();	b.input();	c.input();
		Line l(a,b),m(b,c);
		Point center;
		center.x=searchx(l,m);	center.y=searchy(l,m);
		double dis=dist(center,a);
		printf("%.3lf %.3lf %.3lf\n",center.x,center.y,dis);
	}
	return 0;
}

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

int main(){
    int n;
    double x1, x2, x3, y1, y2, y3, x, y;
    cin >> n;
    for(int i = 0;i < n;i++){
	cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
	if(y1 == y2)swap(x1, x3), swap(y1, y3);
	else if(y1 == y3)swap(x1, x2), swap(y1, y2);
	double x = (x3-x1)/(y1-y3)*(x1+x3)/2-(x2-x1)/(y1-y2)*(x1+x2)/2-(y1+y2)/2+(y1+y3)/2;
	x /= ((x3-x1)/(y1-y3) - (x2-x1)/(y1-y2));
	double y = (x2-x1)/(y1-y2)*(x - x1+x2/2) + (y1+y2)/2;
	cout << x << " " << y << " " << hypot(x1-x,y1-y) << endl;   
    }
    return 0;
}
/*
x1y1 x2y2
y = (x2-x1)/(y1-y2)*(x - x1+x2/2) + y1+y2/2
y = (x3-x1)/(y1-y3)*(x - x1+x3/2) + y1+y3/2


(x3-x1)/(y1-y3)*(x - x1+x3/2) + y1+y3/2
 = (x2-x1)/(y1-y2)*(x - x1+x2/2) + y1+y2/2
((x3-x1)/(y1-y3) - (x2-x1)/(y1-y2))*x
=
(x3-x1)/(y1-y3)*(x1+x3)/2-(x2-x1)/(y1-y2)*(x1+x2)/2+(y1+y2)/2-(y1+y3)/2

*/

C++: #include<stdio.h>
#include<math.h>
double sisyagonyuu3(double moto){
	if(moto>0){
		return (moto+0.0005)/100*100;
	}else if(moto==0){
		return 0;
	}else{
		return (moto-0.0005)/100*100;
	}
}
int main()
{
	int n;
	double x1[32],x2[32],x3[32],y1[32],y2[32],y3[32],p,q,r;
	double ac,ab,bc,a,b,c;
	scanf("%d",&n);
	for(int i=0;i<n;i++){
		scanf("%lf%lf%lf%lf%lf%lf",&x1[i],&x2[i],&x3[i],&y1[i],&y2[i],&y3[i]);
		p=sisyagonyuu3(((y1[i]-y3[i])*(y1[i]*y1[i]-y2[i]*y2[i]+x1[i]*x1[i]-x2[i]*x2[i])-(y1[i]-y2[i])*(y1[i]*y1[i]-y3[i]*y3[i]+x1[i]*x1[i]-x3[i]*x3[i]))/(2*(y1[i]-y3[i])*(x1[i]-x2[i])-2*(y1[i]-y2[i])*(x1[i]-x3[i])));
		q=sisyagonyuu3(((x1[i]-x3[i])*(x1[i]*x1[i]-x2[i]*x2[i]+y1[i]*y1[i]-y2[i]*y2[i])-(x1[i]-x2[i])*(x1[i]*x1[i]-x3[i]*x3[i]+y1[i]*y1[i]-y3[i]*y3[i]))/(2*(x1[i]-x3[i])*(y1[i]-y2[i])-2*(x1[i]-x2[i])*(y1[i]-y3[i])));
		ab=sqrt(fabs((x3[i]-x1[i])*(x3[i]-x1[i])+(y3[i]-y1[i])*(y3[i]-y1[i])));
		ac=sqrt(fabs((x3[i]-x2[i])*(x3[i]-x2[i])+(y3[i]-y2[i])*(y3[i]-y2[i])));
		bc=sqrt(fabs((x2[i]-x1[i])*(x2[i]-x1[i])+(y2[i]-y1[i])*(y2[i]-y1[i])));
		a=bc;
		b=ac;
		c=ab;
		r=a*b*c/sqrt((a+b+c)*(-a+b+c)*(a-b+c)*(a+b-c));
		printf("%.3lf %.3lf %.3lf\n",p,q,r);
	}
	return 0;
}
/*?????\???*/