#include <iostream>
#include <cmath>
#include <algorithm>
#include <string>
#include <stdio.h>
using namespace std;
int main(){
    int n;
    cin >> n;
    for(int i=0;i<n;i++){
    double x1,y1,x2,y2,x3,y3;
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;
    double x,y,r1,r2,r3;
    double a,b,c,d,e,f;
    a=2*x1-2*x2;
    b=2*y1-2*y2;
    c=x1*x1-x2*x2+y1*y1-y2*y2;
    d=2*x2-2*x3;
    e=2*y2-2*y3;
    f=x2*x2-x3*x3+y2*y2-y3*y3;
    y=(a*f-c*d)/(a*e-b*d);
    x=(c-b*y)/a;
    r1=sqrt((x1-x)*(x1-x)+(y1-y)*(y1-y));
        r2=sqrt((x2-x)*(x2-x)+(y2-y)*(y2-y));
        r3=sqrt((x3-x)*(x3-x)+(y3-y)*(y3-y));
    
    printf("%.3f %.3f %.3f\n",x,y,r1);
}
}

