Which equation describes a circle with center (4, - 7) and radius 9?

(x - 4) ² + (y + 7) ² = 81

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, - 7) and r = 9, thus

(x - 4) ² + (y - ( - 7)) ² = 9², that is

(x - 4) ² + (y + 7) ² = 81 ← equation of circle