MathDB

Consider a

12

-sided regular polygon. If the vertices going clockwise are

A

B

C

D

E

F

, etc, draw a line between

A

and

F

B

and

G

C

and

H

, etc. This will form a smaller

12

-sided regular polygon in the center of the larger one. What is the area of the smaller one divided by the area of the larger one?

Problem Statement