A regular hexagon with an area of 93.53 sq. cm. is inscribed in a circle. Find the area not covered by the hexagon.

Question

anonymous · Answer

1. Solve for the radius of the hexagon (Which is equal to the radius of the circle).
2. find the Area of the circle with A= pi*r^2
3. Subtract the area of the hexagon from the area of the circle to get your final answer. 

every hexagon is comprised of 6 equilateral triangles.  Divide that area by 6.  Now you have the area of one of the triangles.  Your next step is to find the side length (which is also the radius of the circle).  That is given by; Area (of the triangle!) = [s^2root(30]/4
Some algebra rearranging will give the side length.  That is your radius.  Now find the circle's Area.  (pi*r^2).
With that new area, subtract the area of the hexagon.  Done!

anonymous · Answer

how to illustrate that problem?

directrix · Answer

http://openstudy.com/study#/updates/52900400e4b0424725723c6d