Circle Equation Calculator
Easily calculate the equation of a circle in standard form given its center coordinates (h, k) and radius (r). Visualize the circle on an interactive graph and copy the equation with a click.
Circle Details
Enter the coordinates of the center (h, k) and the radius (r) of the circle to calculate its equation in standard form.
Enter a positive value for the radius.
Equation of the Circle
Interactive Visualization
Explore the circle on the graph. Zoom, pan, and hover for details.
Understanding Circle Equations
The equation of a circle is a fundamental concept in geometry. In its standard form, it is represented as `(x - h)^2 + (y - k)^2 = r^2`, where (h, k) are the coordinates of the center of the circle and r is the radius. This equation helps us define all points (x, y) that lie on the circumference of the circle. By inputting the center and radius into this tool, you can quickly derive and visualize the circle's equation and its graphical representation. This tool is useful for students learning analytic geometry, engineers, and anyone needing to work with circles in mathematical or design contexts.