Question

a circle is centered at (-3,2) and has a radius of 2. Which of the following is the equation for this circle?

Answer 1

You don't have any choices for this, but no matter. We can figure it out anyway. The standard form of a circle is
`(x-h)^2+(y-k)^2=r^2`, where h is the x coordinate of the center and k is the y coordinate of the center. Our h is -3 and our k is 2, with r = 2. Filling in, we have
`(x-(-3))^2+(y-2)^2=2^2`. Simplifying we have
`(x+3)^2+(y-2)^2=4`. That's the equation you're looking for.