[math]\left(x+4\right)^2+\left(y-2\right)^2=25[/math]

[math]\left(x-2\right)^2+\left(y+3\right)^2=100[/math]

Center (-4,6)[br]Radius 14

A circle is a set of points that are all the same distance from a common point (center). The equation of the circle represents all of the ordered pairs (x,y) that are the same distance from the center (h,k). The radius represents the distance from center to any point on the circle. The distance between two pints in the coordinate plane can be found by using the three side lengths of a right triangle. One leg represents the horizontal distance between the center and the point. The other leg represents the vertical distance between the center and the point. And the hypotenuse represents the radius (the distance between the center and the point on the circle).