SOLUTION: What is the formula in finding the area of a hexagon, heptagon and octagon?

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Question 95760: What is the formula in finding the area of a hexagon, heptagon and octagon?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
What is the formula in finding the area of a hexagon, heptagon and octagon?

You must mean the area of a REGULAR hexagon, 
heptagon, or octagon, for there is no formula 
in general for all poygons with n-sides.  
Regular polygons are those with all sides equal 
and all interior angles equal.

The area of a n-sided regular polygon is

A+=%28nr%5E2sin%282pi%2Fn%29%29%2F2 

where r = the distance between the center to a vertex.

If only s, the length of a side of the regular polygon is
known, then you first must calculate r from this:

r+=+s%2F%282sin%28pi%2Fn%29%29

For a regular hexagon, use n=6
For a regular septagon, use n=7
For a regular octagon, use n=8  

Edwin