How to find the area of a regular hexagon
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How to find the area of a regular hexagon

[From: ] [author: ] [Date: 12-01-13] [Hit: ]
338.Regular hexagon is made of 6 equilateral triangles.= 1,= 900√3-The length of a side is 30.Drawing the radii makes 6 congruent equilateral triangles.A = s^2 rad 3/4 = (30^2) rad 3.......
The perimeter of a regular hexagon is 180. How do I find the area?

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s=180/6=30
area=(3Sqrt[3])/(2)s^(2)
=2,338.2686

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P = 6a
=> a = P/6
=> a = 30

Regular hexagon is made of 6 equilateral triangles.
Area of equilateral triangle : A' = (a²√3)/4

Area of hexagon:
A = 6A'
= 6 × (900√3)/4
= 1,800√3 / 2
= 900√3

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The length of a side is 30.

Drawing the radii makes 6 congruent equilateral triangles.

A = s^2 rad 3/4 = (30^2) rad 3.4 = 225 rad 3
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