The equation of a circle x^2 + y^2 + 6y=7. what are the coordinates of the center and the length of the radius of the circle?

a) center (0,3) and radius 4
b) center (0,-3) and radius 4
c) center (0,3) and radius 16
d) center (0,-3) and radius 16

Option B) center and radius

Step-by-step explanation:

we know that

The equation of the circle into center radius form is equal to

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

so

convert to center radius form

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The center is the point

The radius is units

step-by-step explanation:

1/4 because there is 4 grades.