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: import math

def simultaneous_equasion(a, b, c, d, e, f):
    "??£???????¨????"
    det = a * d - b * c
    a11 = d / det
    a12 = - b / det
    a21 = - c / det
    a22 = a / det
    return a11 * e + a12 * f, a21 * e + a22 * f

n = int(input())
for i in range(n):
    x1, y1, x2, y2, x3, y3 = map(float, input().split())
    # ?????????O??¨????????¨???OP1 ^ 2 = OP2 ^ 2
    # (x - x1) ^ 2 + (y - y1) ^ 2 = (x - x2) ^ 2 + (y - y2) ^ 2
    # - 2 * x * x1 + x1 ^ 2 - 2 * y * y1 + y1 ^ 2 = - 2 * x * x2 + x2 ^ 2 - 2 * y * y2 + y2 ^ 2
    # 2 * (x1 - x2) * x + 2 * (y1 - y2) * y = x1 ^ 2 + y2 ^ 2 - x2 ^ 2 - y2 ^ 2
    a = 2 * (x1 - x2)
    b = 2 * (y1 - y2)
    c = 2 * (x1 - x3)
    d = 2 * (y1 - y3)
    e = x1 ** 2 + y1 ** 2 - x2 ** 2 - y2 ** 2
    f = x1 ** 2 + y1 ** 2 - x3 ** 2 - y3 ** 2
    px, py = simultaneous_equasion(a, b, c, d, e, f)
    r = math.sqrt((px - x1) ** 2 + (py - y1) ** 2)
    print("%.3f %.3f %.3f" % (round(px, 3), round(py, 3), round(r, 3)))

Python: import math

n = int(input())
for i in range(n):
    x1,y1,x2,y2,x3,y3 = map(float,input().split())
    a1,b1,c1 = 2*(x2-x1),2*(y2-y1), (x1**2 - x2 **2 + y1 ** 2 - y2 ** 2)
    a2,b2,c2 = 2*(x3-x1), 2*(y3-y1), (x1**2 - x3 **2 + y1 ** 2 - y3 ** 2)

    p1 = (b1*c2 - b2*c1)/(a1*b2 - a2*b1)
    p2 = (c1*a2 - c2*a1)/(a1*b2 - a2*b1)
    r = math.hypot(x1-p1, y1-p2)


    print("%03.3f %03.3f %03.3f " %(p1,p2,r))

Python: from math import sqrt
for _ in range(int(input())):
    x1, y1, x2, y2, x3, y3= map(float, input().split())
    a= sqrt((x3-x2)**2 + (y3-y2)**2)
    b= sqrt((x3-x1)**2 + (y3-y1)**2)
    c= sqrt((x2-x1)**2 + (y2-y1)**2)
    numerator, denominator= 2*b*c, b**2 + c**2 - a**2
    cosA= denominator / numerator
    sinA= sqrt(1 - (cosA)**2)
    r= a / (2*sinA)
    px= (x2-x1) / 2
    py= (y3-y1) / 2
    print("{0:.3f} {1:.3f} {2:.3f}".format(px, py, r))

Python: from math import *
def g(x):
    y = (int((1000 * abs(x)) * 2 + 1) // 2) / 1000
    if x < 0:
        y *= -1
    return y
'''
def f(x):
    a = (x[2] - x[4]) * (x[1] - x[3]) - (x[0] - x[2]) * (x[3] - x[5])
    b = (x[0] - x[2]) * (x[4] - x[0]) - (x[5] - x[1]) * (x[1] - x[3])
    l = 0.5 * b / a
    X = 0.5 * x[2] + 0.5 * x[4] + l * (x[3] - x[5])
    Y = 0.5 * x[3] + 0.5 * x[5] + l * (x[4] - x[2])
    R = sqrt((X - x[0]) ** 2 + (Y - x[1]) ** 2)
    X = g(X)
    Y = g(Y)
    R = g(R)
    print("{0:.3f} {1:.3f} {2:.3f}".format(X, Y, R))
'''
def f(x):
    x1, y1, x2, y2, x3, y3 = x
    X1 = x1 - x3
    Y1 = y1 - y3
    X2 = x2 - x3
    Y2 = y2 - y3
    k  = (X2 ** 2 + Y2 ** 2 -X1 * X2 - Y1 * Y2) / (2 * (X2 * Y1 - X1 * Y2))
    X  = X1 / 2 + k * Y1 + x3
    Y  = Y1 / 2 - k * X1 + y3
    R = sqrt((X - x1) ** 2 + (Y - y1) ** 2)
    X = g(X)
    Y = g(Y)
    R = g(R)
    print("{0:.3f} {1:.3f} {2:.3f}".format(X, Y, R))

n = int(input())
a = []
for _ in range(n):
    a.append(list((map(float, input().split()))))
for i in a:
    f(i)

Python: import sys,math
if sys.version_info[0]>=3: raw_input=input
N=int(raw_input())
for i in range(N):
	x1,y1,x2,y2,x3,y3=[float(e) for e in raw_input().split()]
	a1=2*x2-2*x1
	b1=2*y2-2*y1
	c1=x1*x1-x2*x2+y1*y1-y2*y2
	a2=2*x3-2*x1
	b2=2*y3-2*y1
	c2=x1*x1-x3*x3+y1*y1-y3*y3
	x=(b1*c2-b2*c1)/(a1*b2-a2*b1)
	y=(c1*a2-c2*a1)/(a1*b2-a2*b1)
	print('%.3f %.3f %.3f'%(x,y,math.hypot(x1-x,y1-y)))

Python: import math

def simultaneous_equasion(a, b, c, d, e, f):
    "??£???????¨????"
    det = a * d - b * c
    a11 = d / det
    a12 = - b / det
    a21 = - c / det
    a22 = a / det
    return a11 * e + a12 * f, a21 * e + a22 * f

n = int(input())
for i in range(n):
    x1, y1, x2, y2, x3, y3 = map(float, input().split())
    # (x1, y1), (x2, y2)????????´????????????
    # 2 * (x2 - x1) * x + 2 * (y2 - y1) * y = (y2 - y1) ^ 2 + (x2 - x1) ^ 2
    a = 2 * (x2 - x1)
    b = 2 * (y2 - y1)
    c = 2 * (x3 - x1)
    d = 2 * (y3 - y1)
    e = (y2 - y1) ** 2 + (x2 - x1) ** 2
    f = (y3 - y1) ** 2 + (x3 - x1) ** 2
    px, py = simultaneous_equasion(a, b, c, d, e, f)
    r = math.sqrt((px - x1) ** 2 + (py - y1) ** 2)
    print("%.3f %.3f %.3f" % (round(px, 3), round(py, 3), round(r, 3)))