The gazebo in the photo is built in the shape of a regular octagon. Each side is 13ft long and the enclosed area is 816.4ft^2What is the length of the apothem?

slaggingV

slaggingV

Answered question

2020-12-16

The gazebo in the photo is built in the shape of a regular octagon. Each side is 13ft long and the enclosed area is 816.4ft2
What is the length of the apothem?

Answer & Explanation

Gennenzip

Gennenzip

Skilled2020-12-17Added 96 answers

Use the formula for the area of a regular polygon with nn sides with length ss and apothem a:
A=12ans
Substitute A=816.4ft2, n=8, and s=13 ft: 816.4=12(a)(8)(13)
816.4=52a
15.7=a
So, the length of the apothem is 15.7 ft.

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