Question

A circle has its center at (−2, −3) and a radius of 3 units. What is the equation of the circle? (x + 2)2 + (y − 3)2 = 9 (x − 2)2 + (y − 3)2 = 3 (x + 2)2 + (y + 3)2 = 9 (x + 2)2 + (y + 3)2 = 3

Answer 1

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$\hbox{the center: } (-2,-3) \\ h=-2 \\ k=-3 \\ \\ \hbox{the radius: } 3 \ units \\ r=3 \\ \\ \hbox{the equation:} \\ (x-(-2))^2+(y-(-3))^2=3^2 \\ \boxed{(x+2)^2+(y+3)^2=9}$

Answer 2

The answer is 9

............................