A circle is a set of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius.
5 Must Know Facts For Your Next Test
The standard form of the equation for a circle is $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center and $r$ is the radius.
Circles can be part of systems of nonlinear equations, often intersecting with other circles or parabolas.
To solve for intersections involving circles, you typically substitute one equation into another and solve for $x$ and $y$.
The general form of a circle's equation is $Ax^2 + Ay^2 + Dx + Ey + F = 0$, which can be converted to standard form by completing the square.
Identifying whether two circles intersect involves comparing their radii and the distance between their centers.