Which equation represents a circle with a center at (-4.9) and a diameter of 10 units?

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

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

(x - 9) 2 + (y + 4) 2 = 100

(x + 4) 2 + (y - 9) 2 = 100

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

Step-by-step explanation:

We can write the equation of a circle as

(x-h) ^2 + (y-k) ^2 = r^2

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

We know the diameter is 10 so the radius is 1/2 * 10 = 5

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

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