Identify the center and radius of the circle: / left (x-7/right) ^2+/left (y+3/right) ^2=64

Center is (7,-3) and radius is 8

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-7) ² + (y+3) ²=64

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

(x-7) ² + (y+3) ²=64

(x-7) ² + (y - (-3)) ² = 8²

So, h = 7, k = - 3 and r = 8

Center is (7,-3) and radius is 8