asked 93.0k views
2 votes
What is the area of a regular hexagon with a side of 5 and an apothem of 4.33

2 Answers

2 votes
6·(1/2)·5·(4.33) = 64.95in²
answered
User Zyonneo
by
7.9k points
7 votes
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)
answered
User Sophocles
by
8.7k points

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