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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

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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
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