Division Of circle By Points

Division Of circle By Points

    By One Point:

                        What you think “how many regions will be formed when one point is taken on the circle?”

Yes, the answer is zero because there is not a single region will be formed when one point connected with its own.

    By Two Points:

                       Now think what will happen when two points are taken on the circle are joined? Two regions will be formed. Like this….

   By Three Points:

                       When we connect three points on circle Four regions will be formed.

    By Four Points:

                       When four points are connected then Eight regions will be formed.

    By Five Points:

                       When five points are connected then Sixteen regions will be formed.

                       What you think answers are coming in power of like 2^n-1 (n > 1). Then you are wrong because when connecting six points on the circle the result will be Thirty-two the correct answer is Thirty-one.

By ‘n’ Points:                                           

The correct formula for finding a number of regions is like this...