What is the equation of a circle with center (-4, 7) and radius 6?

A. (x - 4) 2 + (y + 7) 2 = 6

B. (x + 4) 2 + (y - 7) 2 = 36

C. (x + 4) 2 + (y - 7) 2 = 6

D. (x - 4) 2 + (y + 7) 2 = 36

B.

The equation of a circle is:

(x-h) ^2 + (y-k) ^2 = r^2 - where (h, k) is the centre and r is the radius

Therefore, a circle with centre (-4,7) and radius 6 has the equation:

(x - (-4)) ^2 + (y-7) ^2 = (6) ^2

(x+4) ^2 + (y-7) ^2 = 36