14,429 views
44 votes
44 votes
What is the area of the regular polygon with the give radius or apothem?

What is the area of the regular polygon with the give radius or apothem?-example-1
User KGo
by
3.1k points

1 Answer

25 votes
25 votes

Answer: We have to find the area of the provided polygon (square) with the given apothem, it can be visualized as follows:

Therefore the total area of the given square would be as follows:


\begin{gathered} A_((square))=S^2 \\ \\ \\ S=2x=2*10cm=20cm \\ \\ \therefore\rightarrow \\ \\ A_((square))=(2x)^2=(20cm)^2 \\ \\ \\ A_((square))=400cm^2 \\ \end{gathered}

Therefore the answer is, that the area is 400 square centimeters.

What is the area of the regular polygon with the give radius or apothem?-example-1
User Egor Chiglintsev
by
2.8k points