Question

Find the center and radius of the circle $(x + 5)^2 + (y - 3)^2 = 36$

Answer 1

_Given that _

The equation of the circle $(x + 5)^2 + (y - 3)^2 = 36$

Then we know that The standard equation of the circle is $(x - h)^2 + (y -k)^2 = r^2$

$\therefore {(x-(-5))}^2+{(y-3)}^2=6^2$

So by comparing the standard equation with the given equation, we get

$h=-5 , k=3$ and $r=6$

Hence the center of the circle is $(-5,3)$, and the radius is $6$. (Ans)