Go: package main

import (
	"fmt"
	"math"
)

func main() {
	n := scanInt()
	for i := 0; i < n; i++ {
		circleTriangle()
	}
}

func scanInt() int {
	var n int
	fmt.Scanf("%d", &n)
	return n
}

func circleTriangle() {
	var x1, y1, x2, y2, x3, y3 float64
	fmt.Scanf("%f%f%f%f%f%f", &x1, &y1, &x2, &y2, &x3, &y3)
	a := 2 * (x1 - x2)
	b := 2 * (y1 - y2)
	c := 2 * (x1 - x3)
	d := 2 * (y1 - y3)
	e := x1*x1 - x2*x2 + y1*y1 - y2*y2
	f := x1*x1 - x3*x3 + y1*y1 - y3*y3

	px := (d*e - b*f) / (a*d - b*c)
	py := (a*f - c*e) / (a*d - b*c)

	r := math.Sqrt((x1-px)*(x1-px) + (y1-py)*(y1-py))
	fmt.Printf("%.3f %.3f %.3f\n", px, py, r)
}

C++: #include<iostream>
#include<cmath>
#include<iomanip>
using namespace std;
int main()
{
	int n;cin>>n;
	for(;n--;)
	{
		double a,b,c,d,e,f;
		cin>>a>>b>>c>>d>>e>>f;
		double A=a,B=b;
		double lx1,lx2,ly1,ly2;
		lx1=(a+c)/2;
		ly1=(b+d)/2;
		if(b!=d)
		{
			lx2=lx1+1;
			ly2=ly1-((c-a)/(d-b));
		}
		else
		{
			lx2=lx1;
			ly2=ly1+1;
		}
		double lx3,lx4,ly3,ly4;
		lx3=(a+e)/2;
		ly3=(b+f)/2;
		if(b!=f)
		{
			lx4=lx3+1;
			ly4=ly3-((e-a)/(f-b));
		}
		else
		{
			lx4=lx3;
			ly4=ly3+1;
		}
		double g,h;
		a=lx1,b=ly1,c=lx2,d=ly2,e=lx3,f=ly3,g=lx4,h=ly4;
		double x,y;
		x=((f*g-e*h)*(c-a)-(b*c-a*d)*(g-e))/((d-b)*(g-e)-(c-a)*(h-f));
		y=((f*g-e*h)*(d-b)-(b*c-a*d)*(h-f))/((d-b)*(g-e)-(c-a)*(h-f));
		cout<<fixed<<setprecision(3)<<x<<" "<<y<<" "<<hypot(A-x,B-y)<<endl;
	}
}

C++: #include <stdio.h>
#include <math.h>

#define SQ(x) ((x) * (x))

int main(void)
{
    int s;
    int i;
    double x1, x2, x3;
    double y1, y2, y3;
    double a, b, c, d, e, f;
    double l, m, n;
    
    scanf("%d", &s);
    for (i = 0; i < s; i++){
        scanf("%lf%lf%lf%lf%lf%lf", &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);
    }
    
    return (0);

C++: #include<complex>
#include<cstdio>
#include<cmath>
using namespace std;
typedef complex<double> P;
#define F(a,b,c) (acos((b*b+c*c-a*a)/(2*b*c)))
int main(){
	int n;
	double d,e,f,g,h,i;
	for(scanf("%d",&n);n--;){
		scanf("%lf%lf%lf%lf%lf%lf",&d,&g,&e,&h,&f,&i);
		P a(d,g),b(e,h),c(f,i);
		double A=abs(b-c),B=abs(c-a),C=abs(a-b),
		s=sin(2*F(A,B,C)),t=sin(2*F(B,C,A)),u=sin(2*F(C,A,B)),v=s+t+u;
		printf("%.3f %.3f %.3f\n",(d*s+e*t+f*u)/v,(g*s+h*t+i*u)/v,A/sin(F(A,B,C))/2);
	}
}

C++: #include <bits/stdc++.h>

#define times(n, i) uptil(0, n, i)
#define upto(f, t, i) for(auto _##i = (t), i = decltype(_##i)(f) poi  i <= _##i poi  i++)
#define uptil(f, t, i) for(auto _##i = (t), i = decltype(_##i)(f) poi  i < _##i poi  i++)
#define downto(f, t, i) for(auto i = (f), _##i = decltype(i)(t) poi  i >= _##i poi  i--)
#define downtil(f, t, i) for(auto i = (f), _##i = decltype(i)(t) poi  i > _##i poi  i--)

#define unless(c) if(!(c))
#define until(c) while(!(c))
#define loop while(true)

#define poi ;
#define poipoi << "\n"

using namespace std;

#define fuwafuwa(n, c) dokidoki((n) + (c) - 1, c)
#define dokidoki(n, c) ((n) / (c) * (c))

template<class T> bool read(T& t){
    return cin >> t poi
}
template<class T, class...U> bool read(T& t, U&... u){
    unless(cin >> t) return false poi
    return read(u...) poi
}

template<class T> T lov_yet(T t){
    if(t) return t poi
    else return 0 poi
}

template<class T> T gcd(T a, T b){
    if(b) return gcd(b, a % b) poi
    else return a poi
}

pair<double, double> solve_linear(double a1, double b1, double c1, double a2, double b2, double c2){
    return make_pair(lov_yet((b1 * c2 - b2 * c1) / (b1 * a2 - b2 * a1)), lov_yet((a1 * c2 - a2 * c1) / (a1 * b2 - b1 * a2))) poi
}

double distance(const pair<double, double>& p){
    return lov_yet(sqrt(p.first * p.first + p.second * p.second)) poi
}
double distance(const pair<double, double>& a, const pair<double, double>& b){
    return distance(make_pair(a.first - b.first, a.second - b.second)) poi
}

int main(){
    int n poi
    cin >> n poi
    double x1, y1, x2, y2, x3, y3 poi
    times(n, i){
        cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3 poi
        // 2 * (x1 - x2) * px + 2 * (y1 - y2) * py = x1 * x1 - x2 * x2 + y1 * y1 - y2 * y2
        auto p = solve_linear(2 * (x1 - x2), 2 * (y1 - y2), x1 * x1 - x2 * x2 + y1 * y1 - y2 * y2,
                              2 * (x1 - x3), 2 * (y1 - y3), x1 * x1 - x3 * x3 + y1 * y1 - y3 * y3) poi
        printf("%.3f %.3f %.3f\n", p.first, p.second, distance(make_pair(x1, y1), p)) poi
    }

    return 0 poi
}

C++: #include<iostream>
#include<vector>
#include<algorithm>
#include<cmath>
#include<cstdio>

using namespace std;

typedef double Real;

Real EPS = 1e-8;

int sgn(Real a, Real b=0){return a<b-EPS?-1:a>b+EPS?1:0;}
Real sqr(Real a){return sqrt(max(a,(Real)0));}

struct Point{
  Real add(Real a, Real b){
    if(abs(a+b) < EPS*(abs(a)+abs(b)))return 0;
    return a+b;
  }
  Real x, y;
  Point(){}
  Point(Real x,Real y) : x(x) , y(y){}

  Point operator + (Point p){return Point(add(x,p.x), add(y,p.y));}
  Point operator - (Point p){return Point(add(x,-p.x), add(y,-p.y));}
  Point operator * (Real d){return Point(x*d,y*d);}
  Point operator / (Real d){return Point(x/d,y/d);}
  Real norm(){return sqr(x*x+y*y);}
  Real dist(Point a){return (*this-a).norm();}
  Real dot(Point a){return x*a.x+y*a.y;}
  Real cross(Point a){return x*a.y-y*a.x;}
};

struct circle{
  Point p;
  Real r;
  circle(){}
  circle(Point p, Real r) : p(p) , r(r){}
};

circle circumscribed_circle(Point p, Point q, Point r){
  Point a,b,c;
  circle res;
  a=(q-p)*2;
  b=(r-p)*2;
  c.x=p.dot(p)-q.dot(q);  
  c.y=p.dot(p)-r.dot(r);

  res.p.x=a.y*c.y-b.y*c.x;
  res.p.y=b.x*c.x-a.x*c.y;
  res.p=res.p/a.cross(b);
  return circle(res.p, p.dist(res.p));
}

int main(void){
  int n;
  cin >> n;
  while(n--){
    vector<Point>v(3);
    for(int i=0;i<3;i++)
      cin >> v[i].x >> v[i].y;

    circle res=circumscribed_circle(v[0],v[1],v[2]);
    cout << res.p.x << " " << res.p.y << " " << res.r << endl;
  }
  
  return 0;
}

C++: #include<bits/stdc++.h>
#define rep(i,n)for(int i=0;i<(n);i++)
using namespace std;

int main() {
	int n; scanf("%d", &n);
	rep(i, n) {
		double x1, y1, x2, y2, x3, y3;
		cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
		double a = -x1 + x2, b = -y1 + y2, c = (-pow(x1, 2) - pow(y1, 2) + pow(x2, 2) + pow(y2, 2)) / 2;
		double d = -x1 + x3, e = -y1 + y3, f = (-pow(x1, 2) - pow(y1, 2) + pow(x3, 2) + pow(y3, 2)) / 2;
		double y = (c*d - a*f) / (b*d - a*e);
		string t = to_string(y);
		if (t == "inf")abort();
		double x = (c - b*y) / a;
		string s = to_string(x);
		if (s == "inf")abort();
		printf("%.3lf %.3lf %.3lf\n", x, y, hypot(x1 - x, y1 - y));
	}
}

C++: #include <iostream>
#include <math.h>

using namespace std;

int main(){
	int n;
	cin >> n;

	for(int i=0; i<n; i++){
		double x1, y1, x2, y2, x3, y3;
		double px, py, r;

		cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;

		px = (x1 + x2 + x3) / 3;
		py = (y1 + y2 + y3) / 3;
		r = sqrt((x1-px)*(x1-px) + (y1-py)*(y1-py));

		printf("%.3f %.3f %.3f\n", px, py, r);
	}

	return 0;
}