Exploring Regular Polygons | Definition, Properties, and Formulas

regular polygon

A regular polygon is a two-dimensional geometric shape that has equal sides and equal angles

A regular polygon is a two-dimensional geometric shape that has equal sides and equal angles. In other words, all the sides of a regular polygon have the same length, and all the angles between those sides are equal.

Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on. In each case, all the sides are of equal length, and all the interior angles have the same measure.

The number of sides in a regular polygon is represented by the term “n-gon,” where “n” is a positive integer. So, a regular polygon with three sides is called an equilateral triangle (a 3-gon), while a regular polygon with four sides is called a square (a 4-gon), and so on.

The formula to calculate the interior angle of a regular polygon is given by (n-2) * 180 / n, where “n” is the number of sides. This formula allows you to find the measure of each interior angle in degrees.

Similarly, the formula to calculate the sum of the interior angles in a regular polygon is (n-2) * 180 degrees. This formula tells you the total sum of all the interior angles in a regular polygon.

Regular polygons have several properties that make them useful in mathematics and other fields. They have rotational symmetry, meaning they can be rotated by certain angles to coincide with their original position. Regular polygons also have reflective symmetry, where they can be reflected over a line to match their original shape. These properties make regular polygons important in areas such as geometry, architecture, and physics.

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