Give the equation for a circle with the given center and radius. Center at (2, - 9), radius = 3

A. (x-9) 2 + (y+2) 2=3

B. (x-2) 2 + (y+9) 2=9

C. (x+2) 2 + (y-9) 2=9

D. (x+9) 2 + (y-2) 2=3

B

Step-by-step explanation:

The standard form of the equation of a circle 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, - 9) and r = 3, thus

(x - 2) ² + (y - ( - 9)) ² = 3², that is

(x - 2) ² + (y + 9) ² = 9 → B