Discover the equation of a circle, its center, and radius instantly by simply inputting the coordinates of three distinct points. This tool helps visualize and understand geometric properties of circles.
Formula:
The general equation of a circle is given by: (x - h)2 + (y - k)2 = r2, where:
- (h, k): The coordinates of the circle's center.
- r: The radius of the circle.
- (x, y): Any point on the circumference of the circle.
Given three distinct, non-collinear points, a unique circle can be determined by solving a system of equations derived from substituting each point into the general form x2 + y2 + Dx + Ey + F = 0, where D = -2h, E = -2k, and F = h2 + k2 - r2.