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Like other shapes, the octagon is also a polygon. 39 + 27.81 + 35.99 = 108.83, Hence, the area of an irregular octagon is 108.83 square units. An octagon is a polygon with eight sides; a polygon being a two-dimensional closed figure made of straight line segments with three or more sides.The word octagon comes from the greek oktágōnon, “eight angles”. If all the sides and interior angles of an octagon are equal, it is a regular octagon. If so then the octagon can be partitioned into there pieces, a rectangle, which is 42 units by 21 units and hence has an area of $42 \times 21$ square units, and two congruent trapezoids. The area of an irregular octagon How do you figure the area of an irregular octagon? A regular octagon has: Interior Angles of 135° Exterior Angles of 45° Area = 2(1+√2)s 2, or approximately 4.828427 × s 2 (where s=side length) Width w = (1+√2)s; Any octagon has: Sum of Interior Angles of 1080° 20 diagonals Octagon has 8 sides and 8 angles. It measures 1 1/2" = from flat to flat. The area of an octagon is defined as the total space occupied inside the boundary of an octagon. Therefore, the area of a regular octagon is 120.7 cm2. Thus in my diagram each of the pink trapezoids has area $\large \frac{42 + 30}{2} \normalsize \times d$ square units. The length of rectangle is 42 and the width is 21 and and the base length is 42-12 =30 i mean the The area of the octagon is the sum of the areas of the six triangles. MATHS Related Links It measures 1 1/2" = from flat to flat. Measurements are 4 equal sides of =BD", and 4 equal sides of =BE". But in the case of the irregular octagon, the sides have different dimensions and each angle could be different. You will obtain the total area of the octagon: area of octagon = 8 * base * height / 2 = perimeter * apothem / 2. Therefore, we have alternative methods to find the area. Otherwise, the polygon is known as an irregular polygon. Irregular polygons are not considered as having a centre and are not symmetric. if i have a rectangular octagon then how i can find its area These sides are in a straight line segment. It means the number of vertices and edges are 8. In a regular polygon, there are 8 sides of equal length and equal internal angles – 1350. If you can measure the sides of the six triangles then you can find their areas using Heron's formula. In Geometry, we have studied different types of polygon shapes such as triangle, square, pentagon, hexagon, rectangle, etc. 1. Area of a regular octagon, A = 2a2 (1+√ 2 ) Square units. So, to find its area, it is divided into other regular polygons.