Thus, in order to calculate the perimeter of irregular polygons, we add the lengths of all sides of the polygon.Įxample: Find the perimeter of the given polygon. Polygons that do not have equal sides and equal angles are referred to as irregular polygons. Therefore, the perimeter of the regular hexagon is 30 inches. Thus, the perimeter of the regular hexagon = (number of sides) × (length of one side) = (6 × 5) = 30 inches. Solution: Given, the length of one side = 5 inches and the number of sides = 6 (as it is a hexagon). Therefore, the formula to find the perimeter of a regular polygon is: Perimeter of regular polygon = (number of sides) × (length of one side)Įxample: Find the perimeter of a regular hexagon whose each side is 6 inches long. The formulas of some commonly used regular polygons are: Names of Regular Polygon Thus, we calculate the perimeter of regular polygons using the formulas associated with each polygon. Perimeter of Regular PolygonsĪ polygon that is equilateral and equiangular is known as a regular polygon. After that, the appropriate formula is used to find the perimeter of the polygon. Perimeter of a rectangle = 2 × (length + width)īefore calculating the perimeter of the polygon, we first find out whether the given polygon is a regular polygon or an irregular polygon.Perimeter of a triangle = a + b + c, where, a, b, and c are the length of its sides.The perimeter formula of some known polygons is given as follows: We can categorize a polygon as a regular or irregular polygon based on the length of its sides. Both depend directly on the length of the sides of the shape and not directly on the interior angles or the exterior angles of the polygon. There is one similarity between the area and perimeter of a polygon. The perimeter is expressed in linear units like meters, centimeters, inches, feet, etc. The area of polygons is expressed in square units like meters 2, centimeters 2, inches 2, feet 2, etc. The basic formula used to find the perimeter of a polygon is, Perimeter = sum of all sides. For example, the area of a square = a 2, where 'a' is its side length the area of a rectangle = length × width, The area of polygons is calculated using different formulas depending on the type of polygon. The perimeter of a polygon is defined as the total length of its boundary. The space enclosed by any polygon is known as its area. The following table shows the difference between the area and perimeter of polygons. The area and perimeter of polygons can be calculated if the lengths of the sides of the polygon are known. Difference Between Area and Perimeter of Polygon
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