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Lê Quốc Trần Anh Coordinator

05/01/2018 at 17:50
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 A circle with a radius of \(4\sqrt{3}\) cm is inscribed inside a regular hexagon. What is the area of the hexagon? Express your answer in simplest radical form.




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    FA Liên Quân Garena 10/01/2018 at 22:24

    3 diagonals of the hexagon which are the diameters of the circle divide the hexagon into 6 congruent equilateral triangles. The area of each equilateral triangle is : (4√3)2.√34=12√3

     (cm2)

    The answer is : 12√3.6=72√3

     (cm2)

  • ...
    Phan Thanh Tinh Coordinator 10/01/2018 at 09:03

    3 diagonals of the hexagon which are the diameters of the circle divide the hexagon into 6 congruent equilateral triangles. The area of each equilateral triangle is : \(\dfrac{\left(4\sqrt{3}\right)^2.\sqrt{3}}{4}=12\sqrt{3}\) (cm2)

    The answer is : \(12\sqrt{3}.6=72\sqrt{3}\) (cm2)


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