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?
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
