SOLUTION: If the perimeter of a regular hexagon is equal to 6 a, then the area of this hexagon if given by A) 6 a^2 B) 3 a^2 c) 0.5 √ 3 a^2 D) √ 3 a^2 E) 1.5 √ 3 a^

Algebra ->  Polygons -> SOLUTION: If the perimeter of a regular hexagon is equal to 6 a, then the area of this hexagon if given by A) 6 a^2 B) 3 a^2 c) 0.5 √ 3 a^2 D) √ 3 a^2 E) 1.5 √ 3 a^      Log On


   



Question 366039: If the perimeter of a regular hexagon is equal to 6 a, then the area of this hexagon if given by
A) 6 a^2 B) 3 a^2 c) 0.5 √ 3 a^2 D) √ 3 a^2 E) 1.5 √ 3 a^2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The area of any regular polygon with n sides on length s is:
Area+=+n%2As%5E2%2Acot%28180%2Fn%29%2F4
= 6a%5E2%2Acot%2830%29%2F4
= %283a%5E2%2F2%29%2Asqrt%283%29