#include<iostream>
#include<cmath>
#include<cstdio>

int main()
{
	int n;

	std::cin >> n;

	double x1,y1,x2,y2,x3,y3,xp,yp,r;

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

		xp = 1.0*((x1*x1+y1*y1)*(y2-y3)+(x2*x2+y2*y2)*(y3-y1)+(x3*x3+y3*y3)*(y1-y2))/(2*(x1*(y2-y3)+x2*(y3-y1)+x3*(y1-y2)));

		yp = 1.0*((x1*x1+y1*y1)*(x2-x3)+(x2*x2+y2*y2)*(x3-x1)+(x3*x3+y3*y3)*(x1-x2))/(2*(y1*(x2-x3)+y2*(x3-x1)+y3*(x1-x2)));

		double a = sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));

		double b = sqrt((x1-x3)*(x1-x3)+(y1-y3)*(y1-y3));

		double c = sqrt((x3-x2)*(x3-x2)+(y3-y2)*(y3-y2));

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

		printf("%.3f %.3f %.3f\n",xp,yp,r) ;
	}
}