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