State the name of Regular Polygon with 6 sides .
The Correct Answer and Explanation is:
The name of a regular polygon with 6 sides is a regular hexagon.
A regular hexagon is a six-sided polygon in which all sides are equal in length and all interior angles are equal in measure. The term “hexagon” comes from the Greek words “hex” meaning six and “gonia” meaning angle. Because of its symmetrical properties, the regular hexagon is widely studied in geometry and appears in various natural and man-made structures.
Each interior angle of a regular hexagon measures 120 degrees. This can be determined using the formula for the sum of interior angles of a polygon, which is (n – 2) × 180, where n is the number of sides. For a hexagon, n is 6, so the sum of the interior angles is (6 – 2) × 180 = 720 degrees. Since all angles are equal in a regular hexagon, each interior angle is 720 ÷ 6 = 120 degrees.
The regular hexagon has several interesting properties. It can be divided into six equilateral triangles by drawing line segments from the center to each vertex. This symmetry makes it a common shape in tiling and patterns, as it can fill a plane without leaving gaps. A well-known example is the honeycomb structure made by bees, which uses regular hexagons to efficiently store honey.
Another significant property of the regular hexagon is its relationship with the circle. A regular hexagon can be inscribed in a circle such that all its vertices lie on the circle. The radius of this circle is equal to the length of each side of the hexagon.
In both natural and human designs, the regular hexagon is valued for its efficiency, balance, and aesthetic appeal. It is an excellent example of geometric harmony.
