Answer:
(x - 5)² + (y + 7)² = 81
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) = (5, - 7) and r = 9, thus
(x - 5)² + (y - (- 7))² = 9², that is
(x - 5)² + (y + 7)² = 81 ← equation of circle