Circle Equation Calculator
Discover the equation of a circle from its center and radius. Visualize it on an interactive graph!
Enter Circle Details
Provide the center coordinates (x, y) and the radius of the circle to calculate its standard equation.
Equation of the Circle
Standard Equation:
Interactive Circle Visualization
Understanding Circle Equations
The standard equation of a circle with center (h, k) and radius r is given by:
This equation represents all points (x, y) that are at a distance r from the center (h, k). By inputting the center coordinates and radius into the calculator, you can quickly find the equation that defines your circle. This tool is useful in geometry, trigonometry, and various fields of engineering and design where circles are frequently used.
Example Use Cases:
- Determining the path of a rotating object around a fixed point.
- Designing circular components in mechanical engineering.
- Calculating areas and circumferences in architectural designs.
- Graphical representation of data in circular charts and diagrams.