Show that the points `(5, 5), (6, 4), (-2, 4) and (7, 1)`, all lie on a circle. Find its equation, centre and radius.`

Show that the points A(5,5),B(6,4),C(-2,4) and D(7,1) all lies on the circle.Find the centre,radius and equation of circle.

Show that the points (5, 5 ), (6, 4 ), (-2, 4) and (7, 1 ) are concyclic, i.e., all lie on the same circle. Find the equation, centre and radius of this circle.

Show that the points A(1,0),B(2,-7),C(8,1) and D(9,-6) all lie on the same circle.Find the equation of this circle,its centre and radius.

Show that the points (9, -2), (-5, 12) and (-7, 10) lie on that circle whose centre is the point (1, 4)

Show that the points (7,5),(6,-2),(-1,-1) and (0,6) are concyclic.Also find theradius and the centre of the circle on which they lie.

Prove that the points (1,-6), (5,2) , (7,0) and (-1,-4) are concyclic. Find the radius of the circle .

Show that the points (3,2,2),(-1,4,2),(0,5,6),(2,1,2) lie on a sphere whose centre is (1,3,4) Find the also its radius.

Find the equation of the circle which passes through the points (5,-8),(2,-9) and (2,1). Find also the coordinates of its centre and radius.

Show that the equaion x ^(2) + y ^(2) - 6x + 4y - 36 = 0 represents a circle. Also, find its centre and radius.