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3 years ago

A regular octagon with sides of length 7 and an apothem of length 10.49 has an area of how many square units

Mathematics

1 answer:

Ray Of Light [21]3 years ago

6 0

Answer:

The area of the regular octagon is $293.72\ units^{2}$

Step-by-step explanation:

we know that

The area of the regular polygon is equal to

$A=\frac{1}{2}Pa$

where

P is the perimeter of the regular polygon

a is the apothem

<em>Find the perimeter P</em>

$P=8(7)=56\ units$

Find the area

$A=\frac{1}{2}(56)(10.49)=293.72\ units^{2}$

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