SOLUTION: I wanted to find the area of a hexagon to determine the amount of glass I need. I measured diagonal and it was 40 inches.

Algebra ->  Surface-area -> SOLUTION: I wanted to find the area of a hexagon to determine the amount of glass I need. I measured diagonal and it was 40 inches.      Log On


   

Question 597223: I wanted to find the area of a hexagon to determine the amount of glass I need. I measured diagonal and it was 40 inches.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I wanted to find the area of a hexagon to determine the amount of glass I need. I measured diagonal and it was 40 inches.
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The diagonal, from vertex to vertex, not across the flats, is 2x the radius.
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Area+=+%28nR%5E2%29%2F2%2Asin%28360%2Fn%29 R = 20, n = 6
--> Area+=+6%2A20%5E2%2Asin%2860%29%2F2+=+2400%2Asqrt%283%29%2F2%2F2+=+600%2Asqrt%283%29 sq inches
Area =~ 1039.32 sq inches
=~ 7.22 sq ft