Mastering The Basics: Regular Polygons – Definition, Formula, And Classification

Regular polygon

A convex polygon in which all sides are congruent (equilateral) and all angles are congruent (equiangular)

A regular polygon is a two-dimensional geometric shape that has equal sides and angles. In other words, all the sides of a regular polygon have the same length, and all the angles between those sides are equal. A polygon can only be considered regular if it has at least 3 sides.

For example, a square is a regular polygon because it has four sides of equal length and four right angles. A regular hexagon, on the other hand, has six sides of equal length and six angles of 120 degrees each.

The formula to calculate the perimeter of a regular polygon is P = ns, where P is the perimeter, n is the number of sides of the polygon, and s is the length of each side. The formula to calculate the interior angle of a regular polygon is (n-2) x 180 / n, where n is the number of sides.

Regular polygons can also be classified according to the number of sides they have. For example, a three-sided polygon is called a triangle, a four-sided polygon is called a quadrilateral, a five-sided polygon is called a pentagon, and so on.

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