What is the equation of a circle with a center (-8,3) and radius 8?

(x + 8) ² + (y - 3) ² = 64

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) = ( - 8, 3) and r = 8, hence

(x - ( - 8)) ² + (y - 3) ² = 8²

(x + 8) ² + (y - 3) ² = 64 ← equation of circle