jmagana jmagana
  • 10-04-2017
  • Mathematics
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Find the area of a regular pentagon whose apothem is 25.1 and perimeter is 182

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irspow
irspow irspow
  • 10-04-2017
If the perimeter is 182, each of its sides are 182/5=36.4

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...

a(5,36.4)=2279.56 units^2  (to nearest one-hundredth of a square unit)
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