State the name of a regular polygon of 6 sides.a)pentagonb)hexagonc)he...
A) Pentagon have 5 sides
B) Hexagon have 6 sides
C) Heptagon have 7 sides
So the correct answer is B.
State the name of a regular polygon of 6 sides.a)pentagonb)hexagonc)he...
Hexagon
A hexagon is a regular polygon with six sides. The word "hexagon" is derived from the Greek words "hexa" meaning six and "gonia" meaning angle. In a hexagon, all six sides are equal in length, and all six angles are equal.
Regular Polygon
A regular polygon is a polygon that has equal sides and equal angles. In other words, all the sides and angles of a regular polygon are congruent. Regular polygons are named based on the number of sides they have. For example, a regular polygon with three sides is called a triangle, a regular polygon with four sides is called a square, and so on.
Properties of a Hexagon
A hexagon has several properties that make it unique:
1. Number of Sides: A hexagon has six sides.
2. Length of Sides: In a regular hexagon, all six sides have the same length.
3. Sum of Interior Angles: The sum of the interior angles of a hexagon is equal to 720 degrees. Each interior angle of a regular hexagon measures 120 degrees.
4. Sum of Exterior Angles: The sum of the exterior angles of a hexagon is always 360 degrees. Each exterior angle of a regular hexagon measures 60 degrees.
5. Symmetry: A regular hexagon has six lines of symmetry. This means that it can be divided into six congruent parts by drawing lines through its center and vertices.
Uses of Hexagons
Hexagons can be found in various natural and man-made objects. Some common examples include:
1. Honeycomb Structure: Beehives are made up of hexagonal cells, which efficiently use space and provide strength to the structure.
2. Snowflakes: Snowflakes often exhibit hexagonal symmetry due to the molecular structure of water.
3. Hexagon Tiles: Hexagonal tiles are commonly used in flooring and wall designs, providing an aesthetically pleasing pattern.
4. Hexagonal Nuts and Bolts: Hexagonal shapes are often used in the design of nuts and bolts for ease of tightening and loosening.
5. Crystal Structures: Many crystal structures exhibit hexagonal symmetry, such as quartz and graphite.
In conclusion, a hexagon is a regular polygon with six sides. It has several unique properties and can be found in various natural and man-made objects.
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