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1800-102-2727In geometry, a shape formed by joining straight lines is called a polygon. A polygon can have any number of sides, the smallest being a triangle which is a three-sided polygon. Polygons are geometric shapes named on the basis of a number of sides. For example,
And so on, depending on the number of sides and interior angles. In Geometry circle is considered a polygon that has infinite sides.
An octagon is an eight-sided closed polygon. It has eight vertices which make eight interior angles.
The above is an octagon sides AB, BC, CD, DE, EF, FG, GH and HA.
Octagons can be classified on the basis of length of sides and angles as
The angle sum property of an octagon is the sum of all its interior angles. It can be calculated by the given formula.
(n – 2) . 180°
Angle sum property of an octagon = (8 – 2). 180°
Angle sum property of an octagon = 6 . 180°
Angle sum property of an octagon = 1080°
Where n is the number of sides.
The perimeter of an octagon is the length of the boundary of an octagon. It can be calculated by adding all sides of a given octagon. For a regular octagon, the perimeter can be calculated by the formula.
Perimeter = 8 . length of side
For an irregular octagon, the perimeter is the sum of it’s sides.
The perimeter of a heptagon is the measure of the total boundary length of the heptagon. It is calculated by adding all the sides of the given heptagon. For a regular heptagon, the perimeter of the heptagon is obtained as the product of measure of one of its sides by 7.
Perimeter of a regular heptagon = 7 . length of a side
The area of an octagon can be obtained by the formula as below:
Area = 2(1 + √2) . side²