Which equation represents a circle with a center at (-3, - 5) and a radius of 6 units?

A: (x - 3) 2 + (y - 5) 2 = 6

B: (x - 3) 2 + (y - 5) 2 = 36

C: (x + 3) 2 + (y + 5) 2 = 6

D: (x + 3) 2 + (y + 5) 2 = 36

Equation of circle is:

(x - p) ² + (y - q) ² = r²,

where : p and q are coordinates of the center of the circle.

In this case: p = - 3, q = - 5 and r = 6:

(x - ( - 3)) ² + (y - ( - 5)) ² = 6²

(x + 3) ² + (y + 5) ² = 6²

Answer:

D) (x + 3) ² + (y + 5) ² = 36