The equation of the circle whose center is at (4,4) and whose radius is 5 is

(x + 4) ² + (y + 4) ² = 5

(x + 4) ² + (y + 4) ² = 25

(x - 4) ² + (y - 4) ² = 25

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h) ² + (y - k) ² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, 4) and r = 5, thus

(x - 4) ² + (y - 4) ² = 25 ← equation of circle