Equations of a Circle in Different Forms

A Circle is defined as the locus of a point that moves in a 2d-plane such that its distance from a fixed point in that plane is constant.

The fixed point is called the centre (O), and the constant distance is called the radius (r).

👉 To find the equation of a Circle.

Let, In the Cartesian plain origin (O) is the center of a circle, and any point on a circle P(x, y), and radius = OP = a.

If we shift the center from the origin to any point Q(α, β), then the equation of the circle becomes.

👉 Parametric Equation of a Circle