How to plot an inscribed and circumscribed n-gons for values of n

Hi,

I want to solve this problem in the picture below, can anyone help me, i will be very thankful.

Answer 1

[Walter Roberson]

Hint: all of the points are at the same radius from the center, with angles that differ by 2*Pi/n

[Mourchid]

thank you, do you have any idea how can i code it ?

Answer 2

[Image Analyst]

I thought I already answered this yesterday. Anyway, see my function for creating polygons of specified sizes and number of vertices in my shape recognition demo, attached.