Question #2f51f

1 Answer
Feb 4, 2018

As narrated below.

Explanation:

enter image source here

To show R = a

Since it is a regular hexagon, each side will subtend an angle equal to 60 degrees at the center as the total angles at the center is 360.

Each of the six sides will form an equilateral triangle with the center with side = a.

As all the three sides are equal, each side of the equilateral triangle will be of length a.

From the diagram we can see the sides are equal to R ( the radius of the circum circle).

Hence side of hexagon = radius of the circum circle #or R = a#