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[ONLY WORKS FOR REGULAR PENTAGONS] I don't the exact formula, BUT, from what I learned in Geometry last year, I remember that if you have the radius from the center perpendicular to a side [for height] and if you have the length of the side of the pentagon, you can use a simple 1/2 times base time height to get 1/5th of the area. Then you just take that and multiply it by 5 to get the area of the whole pentagon.
I know it looks complicated, but it's pretty simple:
I have a REGULAR pentagon that I chop into 5 triangles
I have the height = 2
I have the base [or the length of 1 side of the pentagon]= 4
1/2xbasexheight= 1/2x2x4= 4
So now you have the area of 1 triangle and multiply by 5
4x5= 20
your pentagon is 20 units squared.
I hope this helped.
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∙ 12y ago
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