What is the equation of a circle with center (-3,-5) and radius 4?

O A. (x+3) 2 + (y + 5) 2 = 4

O B. (x-3) 2 + (y - 5) 2 = 16

O C. (x-3) 2 + (y - 5) 2 = 4

O D. (x + 3) 2 + (y + 5) 2 = 16

Answer: D) (x + 3) ² + (y + 5) ² = 16

Step-by-step explanation:

The equation of a circle is: (x - h) ² + (y - k) ² = r²

where (h, k) = center and r = radius

Given: (h, k) = (-3, - 5) r = 4

Equation: (x - (-3)) ² + (y - (-5)) ² = 4²

(x + 3) ² + (y + 5) ² = 16