The general equation of a circle is x? +y？ +Dx+Ey+F=0 (D？ +E？ -4F & gt； 0), or can it be expressed as (X+D/2)? +(Y+E/2)？ =(D？ +E？ -4F)/4. The central coordinate is: (-D/2, -E/2). Radius: 1/2√(D? +E？ -4F).

To draw a conclusion, you should know:

1, when D+E-4F=0, the general equation only represents one point (-D/2, -E/2), which is called a point circle (a circle with a radius of zero).

2. When d+e-4f

The advantage of the standard equation of a circle is that it clearly points out the center and radius, while the general equation highlights the characteristics of the equation and is convenient to distinguish the shape of the curve.

Brief introduction to the general equation of circle;

The general equation of a circle is knowledge in the field of mathematics. The circle is the most common and simplest quadratic curve. The general equation of a circle is x2+y2+dx+ey+f = 0 (D2+E2-4f >; 0), which can also be expressed as (X+D/2)2+(Y+E/2)2=(D2+E2-4F)/4.

The circle is the most common and simplest quadratic curve. The locus of a point on a plane with the same distance (radius) from a point (center) is called a circle, which is called a circle for short.