Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?

(X-92 + (y + 4) 2 = 25

(x + 4) 2 + ( - 92 = 25

O (X - 9) 2 + (x + 4) 2 = 100

(x + 4) 2 + (y - 92 = 100

(x+4) ^2 + (y-9) ^2 = 25

Step-by-step explanation:

We can use the equation (x-h) ^2 + (y-k) ^2 = r^2

where (h, k) is the center and r is the radius

The center is at (-4,9) and the diameter is 10 which means the radius is 10/2 or 5

(x - - 4) ^2 + (y-9) ^2 = 5^2

(x+4) ^2 + (y-9) ^2 = 25