Find the area of the regular polygon with the given apothem a and side length s. decagon, a = 26 m, s = 16.9 m

Find the area of the regular polygon with the given apothem a and side length s. decagon, a = 26 m, s = 16.9 m

Question
Solid Geometry
asked 2021-02-21
Find the area of the regular polygon with the given apothem a and side length s. decagon, a = 26 m, s = 16.9 m

Answers (1)

2021-02-22
Use the formula for the area of a regular polygon with n sides with length ss and apothem a:
\(\displaystyle{A}=\frac{{1}}{{2}}{a}{n}{s}\)
Substitute n=10, a=26 m, and s=16.9 m:
\(\displaystyle{A}=\frac{{1}}{{2}}{\left({26}\right)}{\left({10}\right)}{\left({16.9}\right)}\)
A=2197
So, the area is 2197 m^2.
0

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