Equation of the circle=
(x-xa)²+(y-ya)²=r² where xa=-4, ya=6 and r=4 cm.
Now, let solve it by substitute xa with -4, ya with 6, and r with 4 cm.
(x-xa)²+(y-ya)²=r²
(x-(-4))²+(y-6)²=4²
(x+4)²+(y-6)²=16. As a result, the correct answer is (x+4)²+(y-6)²=16. Hope it help!