CLASS-8
EXTERIOR OR INTERIOR OF A CIRCLE

Exterior or Interior of a Circle –

In the figure, ‘r’ is the radius of the circle which has its centre at ‘O’. Consider a point ‘P’ in the plane of the circle.

If, OP < r then it will be considered that ‘P’ lies inside the circle.

The set of all such points in the plane of the circle which are at a distance less than ‘r’ from the centre of the circle will be considered as the interior of the circle.

Q is a point which lies in the plane of the circle

If, OQ > r then it will be considered that Q lies outside the circle.

The set of all such points in the plane of the circle which are at a distance greater than ‘r’ from the centre of the circle is called the exterior of the circle.

The interior of a circle together with the points on the circle is called a circle region.