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Finding the area of a circle in a hexagon.

I need to understand how to find the area of circle inscribed in a hexagon with the least amount of waste.
asked Feb 18, 2011 in Algebra 1 Answers by anonymous

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17 Answers

If you have a regular hexagon, and you know the length of a side then you can find the area of both.

the area of the hexagon (using the length of one of its sides) is:

(3s²√3)/2 sq.units, where s is the length of the side.

The largest circle that can be inscribed will have a radius of (s√3)/2 so its area will be:
(3πs²)/4 sq. units.

You can also now find the amount of waste by subtracting the area of the circle from the area of the hexagon.

hope that helps.
answered Feb 18, 2011 by anonymous
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s ka map nikal ne ke liye kya karna padega

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