Can someone help with a Geometry question for a medal and fan?

Question

joeysalad123 · Answer

A circle is centered at (−3, 2) and has a radius of 2. Which of the following is the equation for this circle?

 (x + 3)2 + (y − 2)2 = 2
 (x − 3)2 + (y + 2)2 = 4
 (x + 3)2 + (y − 2)2 = 4
 (x − 3)2 + (y + 2)2 = 2

jim_thompson5910 · Answer

Plug in the given center (h,k) = (-3,2)


$$\Large (x-h)^2 + (y-k)^2 = r^2$$
$$\Large (x-(-3))^2 + (y-2)^2 = r^2$$
$$\Large (x+3)^2 + (y-2)^2 = r^2$$


Then plug in the given radius r = 2


$$\Large (x+3)^2 + (y-2)^2 = r^2$$
$$\Large (x+3)^2 + (y-2)^2 = 2^2$$
$$\Large (x+3)^2 + (y-2)^2 = 4$$


and that's all there is to it

joeysalad123 · Answer

Oh my god, you're a magician! Haha, thanks!