Question

Show that the length of each side of a regular hexagon is equal to the length of the radius of the hexagon​

Answer 1

Answer:

The question has not been put forward correctly. Actually you are inquiring about how one can show that the radius of the circle circumscribing the regular hexagon equals the length of each side of the hexagon.

To show this first draw a circle with a given radius. Next, consider any point on the circumference of the circle and from there cut of an arc on the circumference with the same radius as that of the circle. From the point of intersection of this arc with the circle again repeat the process five times. Thus, starting from the first point you will have 6 points on the circumference of the circle. Keep joining the adjoining pairs of points to form the hexagon. Measure each side of the hexagon. They will be found to be equal to each other as well as equal to the radius of the circle that was considered initially. The circle will be found to circumscribe this regular hexagon.

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