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

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

User Numan
by
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2 Answers

2 votes
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)
User AlbatrossCafe
by
8.6k points
5 votes
A≈173.82cm² that's the answer.
User Grigori
by
8.7k points
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