RonzaM531106 RonzaM531106
  • 04-11-2022
  • Mathematics
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Find the area of a regular hexagonwith a side length of 4 cm and anapothem of approximately 3.5 cm.Area = [?] cm2

Find the area of a regular hexagonwith a side length of 4 cm and anapothem of approximately 35 cmArea cm2 class=

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LeseanC556168 LeseanC556168
  • 04-11-2022

Solution:

A regular decagon is a 10-sided shape with equal side length.

The area A of a regular decagon is given as;

[tex]\begin{gathered} A=\frac{n\times a\times s}{2} \\ \text{Where;} \\ n=number\text{ of sides;} \\ a=\text{apothem}; \\ s=\text{side length} \end{gathered}[/tex]

Thus, the area of the regular decagon is;

[tex]\begin{gathered} A=\frac{10\times5\times3.25}{2} \\ A=81.25m^2 \end{gathered}[/tex]

FINAL ANSWER:

[tex]A=81.25m^2[/tex]

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