Question

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 1

Equation of a circle is \[\large (x-h)^{2}~+~(y-k)^{2}=r^{2}\]
\[\large (h,k)~=~Center~coordinates~of~circle\]
\[\large r~=~radius\] Plug in the h,k, and r, and tell me what you get :)

Answer 2

so would r= 2 and then h and k would be (-3,2)? just wondering

Answer 3

Right, those are all what you would plug in.

Answer 4

oh ok (: one second

Answer 5

as aforementioned \(\bf (x-{\color{brown}{ h}})^2+(y-{\color{blue}{ k}})^2={\color{purple}{ r}}^2

\qquad center\ ({\color{brown}{ -3}},{\color{blue}{ 2}})\qquad
radius={\color{purple}{ 2}}\)

Answer 6

is this right ?