The distance between the points on the circle and its centre is called the radius of the circle.

If the coordinates of the centre are (0, 0), the circle is said to be **centred at the origin**.

The equation of a circle with radius *r* and centred at the origin of a Cartesian coordinate system is :\(x^2 + y^2=r^2\).

The equation of a circle with radius *r* and centred at a point with coordinates C(*h*, *k*) in a Cartesian coordinate system is : \((x-h)^2 + (y-k)^2=r^2\).

### Example

Consider a circle whose centre is C(6, 2), whose radius is 5 and whose equation is : \((x-6)^2 + (y-2)^2=25\)

Therefore *h* = 6 and *k* = 2