x2+(y-4)2=16

This is the form of a circle. Use this form to determine the center and radius of the circle.

(x-h)2+(y-k)2=r2

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.

r=4

h=0

k=4

The center of the circle is found at (h,k).

Center: (0,4)

These values represent the important values for graphing and analyzing a circle.

Center: (0,4)

Radius: 4

Graph x^2+(y-4)^2=16