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grandymaker [24]
3 years ago
6

What is the area of a regular hexagon with a side of 5 and an apothem of 4.33

Mathematics
2 answers:
Bingel [31]3 years ago
6 0
<span>6</span>·(1/2)·5·(4.33) = 64.95in²
sertanlavr [38]3 years ago
3 0
The area of any regular polygon can be expressed as:

a(n,s)=(ns^2)/(4tan(180/n)), where n=number of sides and s=side length

(notice apothem is not needed :P)

a(6,5)=(6*5^2)/(4tan(180/6)

a(6,5)=37.5/tan30

a(6,5)≈64.95 units (to nearest hundredth of a unit)
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