Verified answer

The standard equation of a circle is (x-h)^2+(y-k)^2=r^2

Where (h,k) is the coordinates of the center and r is the radius.

Looking at the equation, we see that h=10 and k=8, so the center is (10,8)

C (10 , 8)

(x - 10)² + (y - 8)² = 256

(x - 10)² + (y - 8)² = 16²

The typical equation of a circle is: (x - xo)² + (y - yo)² = R² → where:

xo: abscissa of center → 10 in your case

yo: ordinate of center → 8 in your case

R: radius of circle → 16 in your case