chandler74 chandler74
  • 13-07-2017
  • Mathematics
contestada

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

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irspow
irspow irspow
  • 13-07-2017
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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bwardroposa4tj bwardroposa4tj
  • 13-07-2017
6·(1/2)·5·(4.33) = 64.95in²
Answer Link

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