Ask Question
10 May, 23:42

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?

+2
Answers (2)
  1. 10 May, 23:44
    0
    The answer is 4√3 or 6.3
  2. 11 May, 00:01
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers