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 <cmath>
#include <cstdio>

int main() {
	int sampleNum;
	scanf("%d", &sampleNum);
	for (; sampleNum > 0; --sampleNum) {
		double x1, y1, x2, y2, x3, y3;
		scanf("%lf %lf %lf %lf %lf %lf", &x1, &y1, &x2, &y2, &x3, &y3);

		double ax = x2 - x1;
		double ay = y2 - y1;
		double a = sqrt(ax * ax + ay * ay);
		double bx = x3 - x1;
		double by = y3 - y1;
		double b = sqrt(bx * bx + by * by);
		double cx = x3 - x2;
		double cy = y3 - y2;
		double c = sqrt(cx * cx + cy * cy);

		double crossabz = ax * by - ay * bx;
		double crossbcz = bx * cy - by * cx;
		double crosscaz = cx * ay - cy * ax;

		double sinA = crossbcz / (b * c);
		double sinB = crosscaz / (c * a);
		double sinC = crossabz / (a * b);
		double sin2A = sin(2.*asin(sinA));
		double sin2B = sin(2.*asin(sinB));
		double sin2C = sin(2.*asin(sinC));
		double px = (sin2A * x1 + sin2B * x2 + sin2C * x3) / (sin2A + sin2B + sin2C);
		double py = (sin2A * y1 + sin2B * y2 + sin2C * y3) / (sin2A + sin2B + sin2C);

		double s = abs(crossabz) / 2.;
		double r = a * b * c / (4. * s);

		printf("%.3lf %.3lf %.3lf\n", px, py, r);
	}
	return 0;
}

C++: #include <iostream>
#include <cstring>
#include <vector>
#include <algorithm>
#include <fstream>
#include <sstream>
#include <string>
#include <iomanip>
#include <math.h>
#include <limits>
#include <chrono>

using namespace std;

class circleOfATriangle
{
public:
	void calc(double,double,double,double,double,double);
};

void circleOfATriangle::calc(double x1, double y1, double x2, double y2, double x3, double y3)
{
	double a2 = (x2 - x3) * (x2 - x3) + (y2 - y3) * (y2 - y3);
	double b2 = (x1 - x3) * (x1 - x3) + (y1 - y3) * (y1 - y3);
	double c2 = (x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1);
	double area = ((x2 - x1) * (y3 - y1) - (x3 - x1) * (y2 - y1)) / 2.0;

	double px = (a2*(b2 + c2 - a2)*x1 + b2*(c2 + a2 - b2)*x2 + c2*(a2 + b2 - c2)*x3) / (16 * area*area);
	double py = (a2*(b2 + c2 - a2)*y1 + b2*(c2 + a2 - b2)*y2 + c2*(a2 + b2 - c2)*y3) / (16 * area*area);
	double r = sqrt((x1 - px)*(x1 - px) + (y1 - py)*(y1 - py));
	
	cout << fixed << setprecision(3) << px << " " << py << " " << r << "\n";
}

int main()
{
	circleOfATriangle ct;
	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;
		ct.calc(x1,y1,x2,y2,x3,y3);
	}

	return 0;
}