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))
	}
}

Python: # -*- coding: utf-8 -*-

import cmath

class Point(object):
    def __init__(self, x, y):
        self.point = complex(x, y)
    def __str__(self):
        return "x = {0}, y = {1}".format(self.point.real, self.point.imag)

class Triangle(Point):
    def __init__(self, a, b, c):
        self.a = a
        self.b = b
        self.c = c
        # ３辺の長さ
        self.edgeA = abs(b.point-c.point)
        self.edgeB = abs(c.point-a.point)
        self.edgeC = abs(a.point-b.point)
        # ３角の大きさ
        self.angleA = Triangle.angle(self.edgeA, self.edgeB, self.edgeC)
        self.angleB = Triangle.angle(self.edgeB, self.edgeC, self.edgeA)
        self.angleC = Triangle.angle(self.edgeC, self.edgeA, self.edgeB)

    # 角度を求める
    def angle(A, B, C):
        return cmath.acos( (B*B+C*C-A*A)/(2*B*C) )


    # 外接円の半径
    def circumscribedCircleRadius(self):
        return abs((self.edgeA/cmath.sin(self.angleA))/2)

    # 外心
    def circumscribedCircleCenter(self):
        A = cmath.sin(2*self.angleA)
        B = cmath.sin(2*self.angleB)
        C = cmath.sin(2*self.angleC)
        X = (self.a.point.real*A + self.b.point.real*B + self.c.point.real*C) / (A+B+C)
        Y = (self.a.point.imag*A + self.b.point.imag*B + self.c.point.imag*C) / (A+B+C)
        return complex(X, Y)

line = list(map(float, input().split()))
p1 = Point(line[0], line[1])
p2 = Point(line[2], line[3])
p3 = Point(line[4], line[5])
T = Triangle(p1, p2, p3)
center = T.circumscribedCircleCenter()
print("{0:.4f} {1:.4f} {2:.4f}".format(center.real, center.imag, T.circumscribedCircleRadius()))

Python: import math

def Cramer(c):
	den = c[0]*c[4] - c[1]*c[3]
	return [(c[2]*c[4] - c[1]*c[5]) / den, (c[0]*c[5] - c[2]*c[3]) / den]

n = eval(input())
for i in range(n):
	c = [eval(item) for item in input().split()]
	sol = Cramer([2*(c[0] - c[2]),\
				  2*(c[1] - c[3]),\
				  c[0]**2 + c[1]**2 - c[2]**2 - c[3]**2,\
				  2*(c[0] - c[4]),\
				  2*(c[1] - c[5]),\
				  c[0]**2 + c[1]**2 - c[4]**2 - c[5]**2])
	r = math.sqrt((sol[0] - c[0])**2+(sol[1] - c[1])**2)
	print('%.3f %.3f %.3f' %(sol[0], sol[1], r))

Python: from math import sqrt
n=int(input())
for i in range(n):
	x1,y1,x2,y2,x3,y3=map(int,input().split())
	x4=((y1-y3)*(y1**2-y2**2+x1**2-x2**2)-(y1-y2)*(y1**2-y3**2+x1**2-x3**2))/(2*(y1-y3)*(x1-x2)-2*(y1-y2)*(x1-x3))
	y4=((x1-x3)*(x1**2-x2**2+y1**2-x1**2)-(x1-x2)*(x1**2-x3**2+y1**2-y3**2))/(2*(x1-x3)*(y1-y2)-2*(x1-x2)*(y1-y3))
	r=sqrt((x1-x4)**2+(y1-y4)**2);
	print("{:.3f} {:.3f} {:.3f}".format(x4,y4,r))

Python: #!/usr/bin/env python
from math import *
def g(x):
	y = (int((1000 * abs(x)) * 2 + 1) // 2) / 1000
	if x < 0:
		y *= -1
	return y
def func(x):
	x1, y1, x2, y2, x3, y3 = x

	vx1 = x2 - x1
	vy1 = y2 - y1
	vx2 = x3 - x1
	vy2 = y3 - y1
	k = (vx2 ** 2 + vy2 ** 2 - vx1 * vx2 - vy1 * vy2) / (vy1 * vx2 - vx1 * vy2) / 2
	x = vx1 / 2 + k * vy1 + x1
	y = vy1 / 2 - k * vx1 + y1
	r = sqrt((x1 - x) * (x1 - x) + (y1 - y) * (y1 - y))
	x = "{0:.3f}".format(g(x))
	y = "{0:.3f}".format(g(y))
	r = "{0:.3f}".format(g(r))
	print(x + " " + y + " " + r)
n = int(input())
a = []
for _ in range(n):
	a.append(list((map(float, input().split()))))
for i in a:
	func(i)

Python: import math
a=int(input())
for i in range(a):
    x1,y1,x2,y2,x3,y3=[float(j) for j in input().split()]
    A=x1**2+y1**2-x2**2-y2**2
    B=x2**2+y2**2-x3**2-y3**2
    x12=x1-x2
    x23=x2-x3
    y12=y1-y2
    y23=y2-y3
    x=(y23*A-y12*B)/(2*(x12*y23-x23*y12))
    if (y12==0):
        y=(B-2*x23*x)/(2*y23)
    else:
        y=(A-2*x12*x)/(2*y12)
    r=math.sqrt((x1-x)**2+(y1-y)**2)
    print('{:.3f} {:.3f} {:.3f}'.format(x,y,r))

Python: from math import sqrt
n = int(input())

for i in range(n):
    l = input()
    x1,y1,x2,y2,x3,y3=map(float,l.split(' '))
    a_2 = (x1 - x2)**2 + (y1 - y2)**2
    b_2 = (x2 - x3)**2 + (y2 - y3)**2
    c_2 = (x3 - x1)**2 + (y3 - y1)**2
    cos_a_2 = (b_2 + c_2 - a_2)**2/(4* b_2 * c_2)
    sin_a_2 = 1 - cos_a_2
    r = round(sqrt(a_2/sin_a_2)/2,3)
    a = (x1**2 - x3**2 + y1**2 - y3**2)*(x2 - x1)
    b = (x1**2 - x2**2 + y1**2 - y2**2)*(x3 - x1)
    c = (y2 - y1)*(x3 - x1)
    d = (y3 - y1)*(x2 - x1)
    py = round((a-b)/(c-d)/2,3)
    a = (x1**2 - x3**2 + y1**2 - y3**2)*(y2 - y1)
    b = (x1**2 - x2**2 + y1**2 - y2**2)*(y3 - y1)
    c = (x2 - x1)*(y3 - y1)
    d = (x3 - x1)*(y2 - y1)
    px = round((a-b)/(c-d)/2,3)
    print('%.3f %.3f %.3f' %(px, py, r))