Understanding the Domain and Range of a Circle: Key Concepts

In coordinate geometry, a circle is defined by its center and radius, giving rise to key concepts like domain and range that reveal its full spatial extent.

Domain and Range of a Circle’s Equation

A circle centered at (h, k) with radius r is described by the equation (x-h)² + (y-k)² = r². The domain consists of all real x-values from h−r to h+r, reflecting the horizontal span of the circle. Similarly,