What is the equation of a circle with center (2,-5) and radius 4?

(x - 2) ² + (y + 5) ² = 16

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) = (2, - 5) and r = 4, hence

(x - 2) ² + (y - ( - 5)) ² = 4², that is

(x - 2) ² + (y + 5) ² = 16 ← is the equation of the circle