SOLUTION: A hexagon of side length 4cm has both an inscribed and a circumscribed circle. What is the area of the region (called an annulus) between the two circles?

Question 1179701: A hexagon of side length 4cm has both an inscribed and
a circumscribed circle. What is the area of the
region (called an annulus) between the two circles?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.


The radius of the circumscribed circle is 4 cm  ---- the same as the side length of the hexagon.



The radius of the inscribed circle is   cm  --- the same as the apothem of the regular hexagon.



Therefore, the area under the problem's question is


    area =  -  = 4pi  square centimeters.    ANSWER

Solved, answered and explained.

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