Answered

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What is the area of a regular hexagon inscribed in a circle of radius 8 meters?

27.713 square meters
166.277 square meters
138.564 square meters
152.169 square meters

Sagot :

triiniityy

Answer:

it's 166.277

Step-by-step explanation:

i took the test & got it right

Area of the regular hexagon is 166.3 square meter.

What is the area of a regular hexagon?

A regular hexagon exists comprised of six equilateral triangles.

Area of an equilateral triangle is [tex]$\frac{\sqrt{3}}{4} \cdot s^{2}$[/tex].

Therefore, area of a regular hexagon exists

[tex]$6 \cdot \frac{\sqrt{3}}{4} \cdot s^{2}=3 \sqrt{3} \cdot \frac{s^{2}}{2}$[/tex]

where, s = m exists the length of a side of the regular hexagon.

Area of the regular hexagon is

[tex]$A_{h}=\frac{3 \cdot \sqrt{3} \cdot 8^{2}}{2}$[/tex]

[tex]$=96 \cdot \sqrt{3} \approx 166.3$[/tex] square meter.

To learn more about area of a regular hexagon

https://brainly.com/question/20710399

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