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?
a. (-7, -1), 36 units
b. (7, 1), 36 units
c. (7, 1), 6 units
d. (-7, -1), 6 units

option d is correct.

center = (-7, -1)

r = 6

Step-by-step explanation:

The general equation of the circle is given by;

where;

(h, k) is the center of the circle

r is the radius of the circle respectively.

As per the statement:

A circle is described by the equation

then;

Using the completing the square:

⇒

⇒

Add 36 to both sides we have;

On comparing with the general equation of circle:

we get;

h = -7 ,  k = -1 and

⇒

Therefore, the coordinate of the center of the circle is (-7, -1) and length of the radius of the circle is 6

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