Answer:
(x + 4)² + (y - 9)² = 25
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, 9) and r = 10 ÷ 2 = 5 , thus
(x - (- 4))² + (y - 9)² = 5² , that is
(x + 4)² + (y - 9)² = 25 ← equation of circle
