Circle Equation Calculator

Find the equation of a circle in center-radius form given the center coordinates (h, k) and radius (r).

Center X (h):

Center Y (k):

Radius (r):

Circle Equation (Center-Radius Form):

$$ (x - )^2 + (y - )^2 = ^2 $$

Visual Representation of the Circle

Understanding Circle Equations

The equation of a circle in center-radius form is given by $ (x - h)^2 + (y - k)^2 = r^2 $, where $(h, k)$ is the center of the circle and $r$ is the radius.

This calculator helps you find this equation by simply providing the coordinates of the center and the length of the radius. The visualization provides a graphical representation of your circle on a 2D plane. You can use this tool for geometry problems, educational purposes, or any application requiring circle equations.

Center (h, k): Represents the coordinates of the central point of the circle.
Radius (r): The distance from the center to any point on the circle. It must be a positive value.
Equation: The algebraic expression defining all points $(x, y)$ that lie on the circle.

Learn more about circle equations on resources like Math is Fun and Wikipedia.