What is the area of a regular hexagon with perimeter 12 cm and apothem √3 cm?

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07-07-2017
Mathematics

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What is the area of a regular hexagon with perimeter 12 cm and apothem √3 cm?

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CastleRook CastleRook · Answer 1 · 2017-07-13T10:53:57+02:00

CastleRook CastleRook

13-07-2017

Area of the hexagon will be given by:
Area=nr^2tan (180/n)
where;
n=number of sides
r=apthem
thus;
Area=6*((3)^1/2)^2*tan(180/6)
Area=6*3*tan30
Area=10.392 cm^2

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