Writing in Center-Radius Form
Solutions:
1) \((x-5)^2+(y+2)^2 = 12\)
Center is at \((5, -2)\) and the radius is \(2\sqrt{3}\)
2) \((x-4)^2+(y-12)^2 = 16\)
Center at \((4, 12)\) and radius is 4
3) \((x+2)^2+(y+3)^2 = 25\)
Center is at \((-2, -3)\) and the radius is 5
It should be much easier to graph a circle using center-radius form since those two pieces of information are all that are needed to draw a circle..
Graphs are created using Desmos.com.