dancer27 dancer27
  • 13-04-2017
  • Mathematics
contestada

How do I find the area of a regular octagon with perimeter of 48cm?

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connorkelley507
connorkelley507 connorkelley507
  • 13-04-2017
A≈173.82cm² that's the answer.
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irspow
irspow irspow
  • 13-04-2017
An octogon has 8 sides and each side is 48/8=6cm

The area of any regular polygon when the side length is known is:

A(n,s)=ns^2/(4tan(180/n)) in this case

A(8,6)=288/(4tan22.5)

A=173.82cm^2  (to nearest hundredth of a cm^2)
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