Regular Polygon
a polygon in which all sides are congruent and all angles are congruent
A regular polygon is a two-dimensional shape that has equal side lengths and equal interior angles. In other words, each side of the polygon has the same length and each angle inside the polygon has the same degree measure.
A regular polygon can have any number of sides, but the most commonly known regular polygons are the equilateral triangle (3 sides), square (4 sides), pentagon (5 sides), hexagon (6 sides), octagon (8 sides) and decagon (10 sides).
To find the measure of each interior angle of a regular polygon, we use the formula:
Interior angle = (n-2) x 180 / n
Where ‘n’ is the number of sides of the polygon.
Similarly, to find the measure of each exterior angle of a regular polygon, we use the formula:
Exterior angle = 360/n
A regular polygon has properties that make them useful in various fields such as architecture, design, and mathematics. For example, regular polygons are often used in tiling patterns and in the construction of buildings and monuments such as the Taj Mahal in India, which features a large octagonal dome.
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