In a regular hexagon, what is the relationship between the side length and the r

Practice Questions

Q1
In a regular hexagon, what is the relationship between the side length and the radius of the circumscribed circle?
  1. The radius is twice the side length.
  2. The radius is equal to the side length.
  3. The radius is half the side length.
  4. The radius is three times the side length.

Questions & Step-by-Step Solutions

In a regular hexagon, what is the relationship between the side length and the radius of the circumscribed circle?
  • Step 1: Understand what a regular hexagon is. A regular hexagon has 6 equal sides and 6 equal angles.
  • Step 2: Know what a circumscribed circle is. It is a circle that passes through all the vertices (corners) of the hexagon.
  • Step 3: Visualize the hexagon. Draw a regular hexagon and label the length of one side as 's'.
  • Step 4: Draw the circumscribed circle around the hexagon. The center of this circle is the same distance from each vertex of the hexagon.
  • Step 5: Notice that in a regular hexagon, each vertex is at the same distance from the center of the circle. This distance is called the radius 'r'.
  • Step 6: Realize that in a regular hexagon, the radius 'r' of the circumscribed circle is equal to the length of one side 's'. So, r = s.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely