#include <iostream>
#include <math.h>
using namespace std;


int main()
{

	int i,n;
	float cx,cy,dx,dy,dist;
	float x1,x2,x3,y1,y2,y3,a1,b1,c1,a2,b2,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;
		cx = (b1*c2-b2*c1)/(a1*b2-a2*b1);
		cy = (c1*a2-c2*a1)/(a1*b2-a2*b1);

		dx = cx - x1;
		dy = cy - y1;
		dist = sqrt( dx*dx + dy*dy );
		
		printf("%.3f %.3f %.3f\n",cx,cy,dist);
	}


	return 0;
}