Question

given a circle of radius r and with centre O. A point P lies in the plane such that OP<r tell the exact position of point P

Answer 1

the point P will lie in the interior of the circle.


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Answer 2

Given:

We have circle of radius r. and a point is located.

To Find:

We need to find the position of P.

Step-by-step explanation:

Since Radius of circle is r with centre O.

First of all we will define some terms:

• 1. Interior region of circle:

        If distance of point(P) from centre  circle is less than radius of      

        circle, that point lie interior region of circle.

                       PO < r  Then we say point P lie  interior  of circle.

• 2. On circle

        If distance of point(B) from centre  circle is equal to radius  circle,

       that point lie on the circle.

       BO = R Then we will say  point B lie on circle.

• 3. Exterior region of circle

        If distance of point(A) centre of circle is greater than radius of

        circle point lie exterior region circle. AO > R

Then we will say  point A lie in exterior region of circle.

Hence, we have OP<r thus, point lies inside the circle.