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

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Question: In a regular hexagon, what is the relationship between the side length and the radius of the circumscribed circle?

Options:

Correct Answer: The radius is equal to the side length.

Solution:

In a regular hexagon, the radius of the circumscribed circle is equal to the length of a side.

In a regular hexagon, what is the relationship between the side length and the radius of the circumscribed circle?

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.

Regular Hexagon Properties – In a regular hexagon, all sides and angles are equal, and the radius of the circumscribed circle (circumradius) is equal to the length of a side.