A regular hexagon has a side 8 cm. Determine its perimeter and area.

Solution

Side = 8 cm
∴ Perimeter = 6 x 8 = 48 cm
Area of equilateral triangle OAB
$equals fraction numerator square root of 3 over denominator 4 end fraction left parenthesis side right parenthesis squared$

$equals fraction numerator square root of 3 over denominator 4 end fraction left parenthesis 8 right parenthesis squared equals 16 square root of 3 space cm squared$

∴ Area of the regular hexagon
= 6 x Area of equilateral triangle OAB
$equals space 6 cross times 16 square root of 3 equals 96 square root of 3 space cm squared$

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Statistics

A regular hexagon has a side 8 cm. Determine its perimeter and area.

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