Unlock geometric precision with our Circumscribed Circle Calculator. Easily find the circumradius and circumcenter of a circle passing through any three non-collinear points. This essential tool is perfect for students, engineers, and designers working with triangles and circles in two-dimensional space.
Formula:
The circumscribed circle, also known as the circumcircle, is a unique circle that passes through all three vertices of a triangle. Its center is called the circumcenter (Ox, Oy), and its radius is the circumradius (R).
Given three non-collinear points P1(x1, y1), P2(x2, y2), and P3(x3, y3), the calculation generally involves:
- Circumcenter: The intersection point of the perpendicular bisectors of any two sides of the triangle formed by the three points. It is equidistant from all three vertices.
- Circumradius: The distance from the circumcenter to any of the three vertices (e.g., R = √((x1 - Ox)2 + (y1 - Oy)2)).
This calculator simplifies these complex geometric calculations, providing instant results for your coordinates.