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Elementary Geometry for College St...
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Elementary Geometry for College St...
In Exercises 17 to 30, use the formula
Find the area of a regular octagon with an apothem of length a = 7.9 ft and each side of length s = 6.5 ft.
To find:
The area of a regular octagon.
1) The perimeter of a regular polygon is given by P = ns, where n is the number of sides and s is the length of any side.
2) The area of a regular octagon with apothem a and perimeter P is given by
Calculation:
It is given that the apothem and length of the regular octagon are 7.9 and 6.5 ft respectively.
The total number of sides in a regular octagon is 8.
Use the formula for the perimeter of regular polygon, i.e., perimeter = ns
Substitute n = 8 and s = 6.5 ft in P = ns.
P = (8)(6.5)
= 52 ft
Use the formula of area of regular octagon,
Substitute a = 7
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