The equation (x+6)^2+(y+4)^2=36 models the position and range of the source of a radio signal. Describe the position of the source and the range of the signals.

The center of the circle described by the equation is (-6,-4), so that is the position of the source. The radius of the circle is the square root of 36, which is 6. This means that the range of the radio signal extends out 6 units from the source in all directions. Therefore, any point on the circle with center (-6,-4) and radius 6 is within range of the radio signal.