Acircle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. what are the coordinates for the center of the circle and the length of the radius?

 The co-ordinates of the center are (-7, -1) and length of the radius is 6 units.

Step-by-step explanation:  The given equation of a circle is as follows :

We are to find the co-ordinates of the center and the length of the radius of the circle.

We know that

the standard equation of a circle with center at the point (h, k) and radius r units is given by

From equation (i), we have

Comparing with the standard equation, we get

the co-ordinates of the center, (h, k) = (-7, -1)  

and

length of the radius, r = 6 units.

Thus, the co-ordinates of the center are (-7, -1) and length of the radius is 6 units.

step-by-step explanation: