Answer:
The area of regular hexagon is 166.08 cm².
Step-by-step explanation:
Given:
Regular hexagon side(a) = 8 cm.
Now, to find the area.
So, by putting the formula we find the area of regular hexagon:
[tex]Area = \frac{3\sqrt{3}}{2} a^2.[/tex]
[tex]Area = \frac{3\sqrt{3}}{2} \times 8^2.[/tex]
[tex]Area = \frac{3\sqrt{3}}{2}\times 64.[/tex]
[tex]Area = \frac{3\times 1.73}{2} \times 64.[/tex]
[tex]Area = \frac{5.19}{2}\times 64.[/tex]
[tex]Area = 5.19\times 32.[/tex]
[tex]Area = 166.08\ cm^2.[/tex]
Therefore, the area of regular hexagon is 166.08 cm².
