Геометрия
Circle Equation Calculator: Find Center & Radius
Easily calculate the center coordinates (h, k) and radius (r) of a circle from its equation in standard form (x-h)^2 + (y-k)^2 = r^2. Visualize the circle and copy results.
Circle Properties
Center (h, k):
Radius (r):
Equation:
Circle Visualization
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.