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

Mathematics

2 answers:

stepladder [879]3 years ago

8 0

A≈173.82cm² that's the answer.

koban [17]3 years ago

4 0

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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