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Allisa [31]
3 years ago
7

A regular octagon has a radius of 6 ft and a side length of

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

<h2>Area of the regular octagon is approximately 102ft²</h2>

Step-by-step explanation:

Given the radius and length of a side of regular octagon as shown;

radius = 6ft and length of side = 4.6ft

Area of a regular octagon is expressed as A = 2(1+\sqrt{2} )a^{2} where a is the length of one side. Given a = 4.6ft

Area = A = 2(1+\sqrt{2} )(4.6)^{2}\\

= 2(1+\sqrt{2} )*21.16\\= (2+2\sqrt{2})*21.16\\ = 4.83*21.16\\= 102.20ft^{2} \\

Area of the regular octagon is approximately 102ft²

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