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Hexagon with sides being 16 inches?

Updated: 4/28/2022
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Yes, it can exist.

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Q: Hexagon with sides being 16 inches?
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What is the apothem of a regular hexagon with sides of 16 inches?

We know that the height of an equilateral triangle equals the product of one half of the side length measure with square root of 3.Since in our regular hexagon we form 6 equilateral triangles with sides length of 16 inches, the apothem length equals to 8√3 inches.


What is the perimeter of a hexagon with 16-cm sides?

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The diameter of a hexagon will be any segment that joins two vertices of the hexagon and passes through its center. Since each of the angles of a hexagon is 120 degrees, than any triangle, which is formed by one side of the triangle and two radii, is an equilateral triangle, and so the lengths of radii are also 16 inches. Thus, the diameter (the sum of two radii) is 32 inches.


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