Unlock Circle Secrets from Equations!

Enter the equation of a circle in standard form to instantly find its center, radius, and visualize it on a graph.

Enter Circle Equation (Standard Form):

Understanding Circle Equations

A circle's equation in standard form is $$ (x-h)^2 + (y-k)^2 = r^2 $$. Here's what each part means:

x and y: These are the coordinates of any point on the circle.
(h, k): This is the center of the circle. 'h' is the x-coordinate of the center, and 'k' is the y-coordinate.
r: This is the radius of the circle, the distance from the center to any point on the circle.
r²: Radius squared, which is a constant value on the right side of the equation.

This calculator helps you find the center $$ (h, k) $$ and radius $$ r $$ when you input the equation in the standard form. It's useful in geometry, graphics, and various fields where circles are involved. Just enter your equation, and explore the properties of your circle!

For further learning, you can explore resources on conic sections and analytic geometry.