Parametric Coordinates of a Circle

Parametric Coordinates of a Circle

For a circle with centre $$(h,k)$$ and radius $$r$$:

$$ x=h+r\cos\theta,\quad y=k+r\sin\theta $$

Terminology

- $$\theta$$ → Parameter representing the angular position of the point.

Usage

- Used to represent any point on a circle parametrically.

- Particularly useful in coordinate geometry and tangent/chord problems.