#include <iostream>
#include <cstdio>
#include <cmath>
using namespace std;

int main(){
  int n;
  double x1, x2, x3, y1, y2, y3, px, py, r, a1, a2, b1, b2, c1, c2;

  cin >> n;

  for(int i = 0;i < n; i++){
    cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3;

    a1 = 2 * (x2 - x1);
    b1 = 2 * (y2 - y1);
    c1 = x1 * x1 - x2 * x2 + y1 * y1 - y2 * y2;
    a2 = 2 * (x3 - x1);
    b2 = 2 * (y3 - y1);
    c2 = x1 * x1 - x3 * x3 + y1 * y1 - y3 * y3;

    px = (b1 * c2 - b2 * c1) / (a1 * b2 - a2 * b1);
    py = (c1 * a2 - c2 * a1) / (a1 * b2 - a2 * b1);
    r = sqrt((px - x1) * (px - x1) + (py - y1) * (py - y1));

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

  return 0;
}