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vazorg [7]
3 years ago
11

The area of a regular hexagon is 55 in^2. Find the length of a side. Round your answer to the nearest tenth. I know the answer i

s 4.6 in., but I have no idea how to solve it.
Mathematics
1 answer:
True [87]3 years ago
4 0
Polygon area = n*side length^2 / [4*tan(180/n)]
side length^2 = polygon area * [4*tan(180/n)] / n
where n is the number of sides
side length^2 = 55 sq inches * (4*tan(180/6)) / 6
side length^2 = 55 sq inches * 4 * tan (30) / 6
side length^2 = (55 sq inches * 4 * 0.57735) / 6
side length^2 = <span> <span> <span> 127.017 </span> </span> </span> / 6
side length^2 = <span> <span> <span> 21.1695 </span> </span> </span>
side length = square root ( <span> <span> <span> 21.1695 </span> </span> </span> )
side length = <span> <span> <span> 4.6010324928 </span> </span> </span>


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