Find the radius and center of the circle given by the equation below.
(x – 6)2 + (y + 4)2 = 7

a. r = 7 and center at (-6, 4)

b. r = 7 and center at (6, -4)

c. r = √7 and center at (-4, 6)

d. r = √7 and (6, -4)

D. r = √7 and (6, -4)

Step-by-step explanation:

Since, the standard equation of a circle is,

Where, (h,k) is the center of the circle and r is the radius of the circle,

Here, the given equation of the circle,

By comparing,

The radius of the circle, r = √7 unit,

And, center = (6,-4)

Hence, option 'D' is correct.