5. What is the radius and center of the circle given by the equation (x+12) ^2 + (y-4) ^2=81?

Center is (-12,4) and radius is 9

Step-by-step explanation:

Equation of circle with (h, k) as center and radius r is given by,

(x-h) ² + (y-k) ² = r²

Here we need to find the radius and center of the circle given by the equation (x+12) ² + (y-4) ²=81

Changing equation to (x-h) ² + (y-k) ² = r² form

(x+12) ² + (y-4) ²=81

(x - (-12)) ² + (y-4) ² = 9²

So, h = - 12, k = 4 and r = 9

Center is (-12,4) and radius is 9