A regular octagon with sides of length 11 and an apothem of length 8.85 has an area of _____ square units.

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fai8rddaraHa5rry fai8rddaraHa5rry

21-06-2016
Mathematics

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A regular octagon with sides of length 11 and an apothem of length 8.85 has an area of _____ square units.

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Аноним Аноним · Answer 1 · 2016-06-28T15:35:30+02:00

Given the apothem (a) and the side of the regular polygon, the area (A) of the polygon may be calculated by the formula,

A = aP/2

where P is the perimeter.

Given that the octagon has a length of 11, its perimeter is 88. Substituting this to the formula above,

A = (8.85)(88) / 2 = 389.4

Thus, the area of the polygon is 389.4 unit².

vikiabrilrocha vikiabrilrocha · Answer 2 · 2020-08-04T21:58:16+02:00

vikiabrilrocha vikiabrilrocha

04-08-2020

Answer: 389.4

Step-by-step explanation: I tested it and it was correct :)

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