Level pending

The area of a square can be easily found by squaring the length of one of its sides. Now, Imagine a regular octagon inside the square. (As shown in the picture above) Now, imagine a regular 16-gon inside the octagon. (The same way the octagon was inscribed inside the square). Then, imagine a regular 32-gon inside the 16-gon. Continue this process until you reach a regular \(1073741824\)-sided figure. What is the area of this \(1073741824\)-sided figure given that the area of the square is 16\(cm^{2}\)?


All of the shapes that will be inscribed will be regular i.e. all sides are the same.

Please leave your answer rounded off to two decimal places.


Problem Loading...

Note Loading...

Set Loading...