We appreciate your visit to This is a regular pentagon The apothem is shown What is perimeter of the pentagon 5 cm OA 36 3 cm OB 18 2 cm. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Given the apothem, we can calculated the length of the side as:
[tex]a=\frac{s}{2\tan (\frac{180}{5})}[/tex]Where:
s = Length of the side
a = Apothem
Solve for s:
[tex]\begin{gathered} s=2a\tan (36) \\ s=2(5)\tan (36) \\ s=7.2654 \end{gathered}[/tex]Therefore, the perimeter is:
[tex]\begin{gathered} P=5\cdot s \\ P=5\cdot(7.2654) \\ P=36.3\operatorname{cm} \end{gathered}[/tex]Answer:
36.3 cm
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