The area of the regular octagon is 229.1 [tex]m^{2}[/tex], which is mentioned in option B, if the radius of the octagon is 9 meters.
Step-by-step explanation:
The given is,
Radius of the Octagon is 9 m
Step:1
Formula for are of regular rectangle is,
[tex]Area, a= 2\sqrt{2}[/tex] × [tex]r^{2}[/tex] ........................(1)
Where,
r - Radius of Octagon
Step:2
From the given values,
r = 9 meter (∵ From given Figure)
Equation (1) becomes,
= 2 × [tex]\sqrt{2}[/tex] × [tex]9^{2}[/tex]
= 2 × [tex]\sqrt{2}[/tex] × 81
= 229.10
a = 229.10 [tex]m^{2}[/tex]
Result:
The area of the regular octagon is 229.1 [tex]m^{2}[/tex],which is mentioned in option B, if the radius of the octagon is 9 meters.
