Question

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

Answer 1

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

Answer 2

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

Answer 3

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