Determine the area of these following regular (all sides are equal) polygon with side length one.
A) Equilateral Triangle s=1
B) Square s=1
C) Hexagon s=1
Last edited by BhandarkarA on Tue Dec 29, 2009 4:37 pm; edited 1 time in total
Shwetark
Posts : 5 Join date : 2009-11-16
Subject: Re: Area Problems Mon Nov 16, 2009 9:12 pm
BhandarkarA wrote:
Determine the area of these following regular (all sides are equal) polygon with side length one.
A) Equilateral Triangle s=1
B) Square s=1
C) Hexagon s=1
Spoiler:
1. 1 out of 2 2. 1 3. ap over 2 answer is 3
BhandarkarA
Posts : 85 Join date : 2009-09-11
Subject: Re: Area Problems Tue Dec 29, 2009 4:43 pm
Shwetark wrote:
1. 1 out of 2 2. 1 3. ap over 2 answer is 3
Look again at numbers 1 and 3. Keep in mind that the formula of ap/2 (where a is the apothem and p the perimeter), can be generalized:
In case you can't see the images: the formula is s^2sqrt(3)/4 and 3s^2sqrt(3)/4 for the equilateral triangle and hexagon respectively. Test out these formulas and see if you can derive them.
AK_Kadaveru
Posts : 28 Join date : 2009-10-20
Subject: Re: Area Problems Sat Jan 02, 2010 8:36 pm
Answer
Spoiler:
[sqrt(3)]/4,1,3sqrt(3)/2
Explanation
Spoiler:
Well according to these formulas,
the area of the triangle is [12sqrt(3)]/4 or [sqrt(3)]/4 and the area of the hexagon is [3(1)2sqrt(3)]/2 or 3sqrt(3)/2 and the area of the square is 12 or 1
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