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10 October, 16:20

The figure below shows a regular hexagon inscribed in a circle. The length of each side of this figure is 8 cm. Which of the following values represents the length of apothem PQ?

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Answers (2)
  1. 10 October, 17:42
    0
    The answer is 4√3 or 6.3
  2. 10 October, 19:10
    0
    The size of angles in a hexagon is:

    [ (n-2) * 180]/6

    = (720) / 6

    =120°

    thus the length of the apothem will be found as follows:

    tan θ=opposite/adjacent

    θ=120/2=60

    opposite=apothem, a

    adajcent=base=8/2=4

    hence

    tan 60=a/4

    a=4 tan 60

    a=6.93

    Thus PQ=6.93
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