#include <iostream>

#include <cstdio>

#include <cmath>

using namespace std;



int main(){

	int n;

	double x1,y1,x2,y2,x3,y3,x1_2,x1_3,y1_2,y1_3,z1_2,z1_3,a,b,c,r;

	while(cin >> n){

		for(int i = 0;i < n;++i){

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

			z1_2 = (((x1 * x1) + (y1 * y1)) * -1) - (((x2 * x2) + (y2 * y2)) * -1);

			z1_3 = (((x1 * x1) + (y1 * y1)) * -1) - (((x3 * x3) + (y3 * y3)) * -1);

			x1_2 = x1 - x2;

			x1_3 = x1 - x3;

			y1_2 = y1 - y2;

			y1_3 = y1 - y3;

			a = ((y1_2 * z1_3) - (y1_3 * z1_2)) / ((y1_2 * x1_3) - (y1_3 * x1_2));

			b = ((x1_2 * z1_3) - (x1_3 * z1_2)) / ((x1_2 * y1_3) - (x1_3 * y1_2));

			c = ((x1 * x1) + (y1 * y1) + (a * x1) + (b * y1)) * -1;

			r = sqrt((c * -1) + (a * a / 4.0) + (b * b / 4.0));

			printf("%.3f %.3f %.3f\n",a / -2.0,b / -2.0,r);

		}

	}

	return 0;

}