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>
using namespace std;
int main(){
    int a;
    cin >>a;
    while(a--){
        double x1,y1,x2,y2,x3,y3;
        cin >>x1 >>y1 >>x2 >> y2 >> x3 >> y3;
        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*c2-b2*c1)/(a1*b2-a2*b1);
        double y=(c1*a2-c2*a1)/(a1*b2-a2*b1);
        double r=hypot(x-x1,y-y1);
        printf("%.3lf %.3lf %.3lf\n",x,y,r);
    }
}

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

struct Line{
    bool isRightX, isRightY;
    double x, y, a, b;
};

Line getBisector(double x1, double y1, double x2, double y2){
    Line bisector;
    bisector.isRightX = bisector.isRightY = false;
    if ( y1 == y2 ){   
	bisector.isRightY = true;
	bisector.x = ( x1 + x2 ) / 2;
    } else if ( x1 == x2 ){    
	bisector.isRightX = true;
	bisector.y = ( y1 + y2 ) / 2;
    } else {
	bisector.a = ( x2 - x1 ) / ( y1 - y2 );
	bisector.b = ( y1 + y2 ) / 2 - bisector.a * (( x1 + x2 ) / 2);
    }

    return bisector;
}

void compute(){
    double x1, y1, x2, y2, x3, y3, x, y, r;
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
    Line AB = getBisector(x1, y1, x2, y2);
    Line AC = getBisector(x1, y1, x3, y3);
    if ( AB.isRightX ){
	if ( AC.isRightY ){
	    x = AC.x; y = AB.y;
	} else {
	    y = AB.y; x = (y - AC.b) / AC.a;
	}
    } else if ( AB.isRightY ){ //y ツ篠イツづ可閉スツ行
	if ( AC.isRightX ){
	    x = AB.x; y = AC.y;
	} else {
	    x = AB.x; y = AC.a * x + AC.b;
	}
    } else {
	if ( AC.isRightX ) {
	    y = AC.y; x = (y - AB.b) / AB.a;
	} else if ( AC.isRightY ) {
	    x = AC.x; y = AB.a * x + AB.b;			
	} else {
	    x = (AC.b - AB.b) / (AB.a - AC.a); 
	    y = AB.a * x + AB.b;
	}	
    }
    r = sqrt( (x - x1)*(x - x1) + (y - y1)*(y - y1) );

    printf("%.3lf %.3lf %.3lf\n", x, y, r);
}

int main(){
    int tcase; cin >> tcase;
    for ( int i = 0; i < tcase; i++ ){
	compute();
    }
    return 0;
}

C++: #include<cstdio>
#include<iostream>
#include<cmath>
#include<algorithm>
#define SQ(x) ((x)*(x))
using namespace std;

int main(){
  int n;
  double x1,y1,x2,y2,x3,y3;
  double a,b,c,d,e,f,l,C,r,xp,yp,m; // 3辺
  cin >> n;
  for(int i=0;i<n;i++){
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;

    a = (x1 - x2);
    b = (y1 - y2);
    c = -1 * (SQ(x1) - SQ(x2) + SQ(y1) - SQ(y2));
    d = (x1 - x3);
    e = (y1 - y3);
    f = -1 * (SQ(x1) - SQ(x3) + SQ(y1) - SQ(y3));
    
    l = (c * e - b * f) / (e * a - b * d);
    m = (d * c - a * f) / (d * b - e * a);

    n = -1 * (SQ(x1) + SQ(y1) + l * x1 + m * y1);
	
    printf("%.3f %.3f %.3f\n", l / -2.0, m / -2.0, sqrt(SQ(l) + SQ(m) - 4 * n) / 2.0);
  }
}

C++: //
//  main.cpp
//  adsfdsgsg
//
//  Created by h3037175 on 2017/07/31.
//  Copyright ?? 2017??´ h3037175. All rights reserved.
//

#include <iostream>
#include <cstdio>
#include <math.h>
#include<algorithm>
#include <utility>
#define nan -100000
using namespace std;
bool isY(double y1,double y2,double y3){
    if(y1==y2 || y1==y3 || y2==y3 ){
        return true;
    }
    else {
        return false;
    }
}
bool isX(double x1,double x2,double x3){
    if(x1==x2 || x1==x3 || x2==x3 ){
        return true;
    }
    else {
        return false;
    }
}
int main() {
    int n;
    double a,x1,x2,x3,y1,y2,y3,px,py,r;
    cin>>n;
    for(int i=0;i<n;i++){
        cin>>x1>>y1>>x2>>y2>>x3>>y3;
        double X[3]={x1,x2,x3},Y[3]={y1,y2,y3};
        sort(X,X+3);sort(Y,Y+3);
        px=2/(X[2]-X[0]);
        py=2/(Y[2]-Y[0]);
        a=(px*px)+(py*py);
            r=sqrt(a);
        printf("%.3f %.3f %.3f",px,py,r);
        cout<<endl;
    }
    return 0;
}
//3633
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