Answer:
(x+4)² + (y-6)² = 81
Step-by-step explanation:
<u>General equation of a circle :</u> (x-h)² + (y-k)² = r²
where (h,k) is at center and r = radius
Here we are given that the circle has a center at (-4,6) and a radius of 9
So we have (h,k) = (-4,6) so h = -4 and k = 6 and radius = 9 so r = 9
<u>Plugging in values into general equation</u>
Recall that the general equation of a circle is (x-h)² + (y-k)² = r²
we have h = -4 , k = 6 and r = 9
==> plug in values
doing so we acquire (x-(-4))² + (y-6)² = 9²
==> apply double negative sign rule
(x+4)² + (y-6)² = 9²
==> evaluate exponent
(x+4)² + (y-6)² = 81
And we are done!
