Question

A circle of radius 3 is drawn with centre at (−2, 1). Find out whether the point (4, 1) lies on the circle, within the circle or outside the circle.

Answer 1

Let the centre of the circle be denoted by point O and the given point be denoted by A.

Given: Coordinates of point O and A are (−2, 1) and (4, 1) respectively.

Radius of the circle = 3 units

We know that distance between two points is given by:

D =

Now, OA =

So, the distance between the points O and A is 6 units, but the radius of the circle is 3 units.

Thus, the point (4, 1) lie outside the circle with centre at (−2, 1).