Write an equation for the circle with a center of (5, - 2) and a radius of 3.

(x - 5) ² + (y + 2) ² = 9

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) = (5, - 2) and r = 3, thus

(x - 5) ² + (y - ( - 2)) ² = 3², that is

(x - 5) ² + (y + 2) ² = 9 ← equation of circle