Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online problems:

Interactive Problem 59: Areas and Perimeters of Stars in a Unit Square

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The colored stars are formed by joining the corners and the midpoints of the sides of a square with side length 1.


\includegraphics[width=0.5\linewidth]{TdM_10_A2_bild1.eps}


Find the areas $ A$ and perimeters $ P$ of both stars.


Answer:

Red star    
$ A_1 = $ ,     $ P_1 = $

Blue star

    
$ A_2 = $ ,     $ P_2 = $
     
(The results should be correct to three decimal places.)


   

(From: Mathematics Contest 2010)
[Links]
  automatically generated: 2/ 6/2018